Cremona's table of elliptic curves

115600 = 2⁴ · 5² · 17²

Class	r	Atkin-Lehner	Eigenvalues
115600a (4 curves)	1	2+ 5+ 17+	2+  0 5+  0  0  2 17+  4
Curve Equation t Generators 115600a1 [0,0,0,-1033175,-404094250] 2 [-232924788492669:-105538563367784:400478525811] 115600a2 [0,0,0,-1177675,-283725750] 4 [-1564927:30579444:2197] 115600a3 [0,0,0,3735325,-2037666750] 2 [8475131752737:-467998250556186:5900304943] 115600a4 [0,0,0,-8402675,9173799250] 2 [-2355:126100:1]
115600b (4 curves)	1	2+ 5+ 17+	2+  0 5+  4  4  2 17+ -4
Curve Equation t Generators 115600b1 [0,0,0,-14450,-614125] 2 [-341973526999:956039018676:4500297451] 115600b2 [0,0,0,-50575,3684750] 4 [163813:1258824:2197] 115600b3 [0,0,0,93925,20880250] 2 [307785:32873750:27] 115600b4 [0,0,0,-773075,261617250] 2 [341:6136:1]
115600c (1 curve)	1	2+ 5+ 17+	2+  1 5+ -2  4  1 17+  1
Curve Equation t Generators 115600c1 [0,1,0,-2408,12327188] 1 [164:4046:1]
115600d (1 curve)	1	2+ 5+ 17+	2+  1 5+  3 -4  0 17+  8
Curve Equation t Generators 115600d1 [0,1,0,-696008,-3063442012] 1 [1837979953144:18303560317250:1115157653]
115600e (1 curve)	1	2+ 5+ 17+	2+  1 5+ -4 -2 -1 17+ -5
Curve Equation t Generators 115600e1 [0,1,0,-19408,-1068812] 1 [198:1700:1]
115600f (1 curve)	1	2+ 5+ 17+	2+ -1 5+  4  2 -1 17+ -5
Curve Equation t Generators 115600f1 [0,-1,0,-5609008,-5217419488] 1 [463854:60184250:27]
115600g (2 curves)	1	2+ 5+ 17+	2+  2 5+  2 -6 -2 17+  0
Curve Equation t Generators 115600g1 [0,-1,0,-31308,-853888] 2 [4799173257:-57031317800:17779581] 115600g2 [0,-1,0,113192,-6633888] 2 [684918:22209650:729]
115600h (2 curves)	1	2+ 5+ 17+	2+  2 5+ -2  2  2 17+  4
Curve Equation t Generators 115600h1 [0,-1,0,-708,2912] 2 [12:1376:27] 115600h2 [0,-1,0,-9208,342912] 2 [48:96:1]
115600i (2 curves)	1	2+ 5+ 17+	2+ -2 5+  0  2  6 17+ -4
Curve Equation t Generators 115600i1 [0,1,0,-60208,4119588] 2 [334:4624:1] 115600i2 [0,1,0,-349208,-76222412] 2 [759:9826:1]
115600j (2 curves)	1	2+ 5+ 17+	2+ -2 5+  2 -2  2 17+  4
Curve Equation t Generators 115600j1 [0,1,0,-204708,13078588] 2 [-136654:1926784:343] 115600j2 [0,1,0,-2661208,1668759588] 2 [914:896:1]
115600k (2 curves)	1	2+ 5+ 17+	2+ -2 5+ -2 -2 -2 17+ -8
Curve Equation t Generators 115600k1 [0,1,0,-25578908,49784774188] 2 [2434:44176:1] 115600k2 [0,1,0,-25434408,50375201188] 2 [4448:158950:1]
115600l (1 curve)	1	2+ 5+ 17+	2+ -2 5+ -2 -5 -2 17+  1
Curve Equation t Generators 115600l1 [0,1,0,-2784033,-1762602437] 1 [-65628:248125:64]
115600m (1 curve)	1	2+ 5+ 17+	2+ -2 5+  3  5  3 17+ -4
Curve Equation t Generators 115600m1 [0,1,0,65592,-48812] 1 [9788:968750:1]
115600n (1 curve)	1	2+ 5+ 17+	2+  3 5+ -2  1 -4 17+ -1
Curve Equation t Generators 115600n1 [0,0,0,1445,49130] 1 [-573:2548:27]
115600o (1 curve)	1	2+ 5+ 17+	2+ -3 5+  3  0 -4 17+  4
Curve Equation t Generators 115600o1 [0,0,0,-4675,123250] 1 [35:-50:1]
115600p (1 curve)	0	2+ 5+ 17-	2+ -1 5+ -3  4  0 17-  8
Curve Equation t 115600p1 [0,-1,0,-2408,-622688] 1
115600q (1 curve)	0	2+ 5+ 17-	2+  2 5+  2  5 -2 17-  1
Curve Equation t 115600q1 [0,-1,0,-9633,-355363] 1
115600r (1 curve)	0	2+ 5+ 17-	2+  2 5+ -3 -5  3 17- -4
Curve Equation t 115600r1 [0,-1,0,18955992,-353549488] 1
115600s (1 curve)	0	2+ 5+ 17-	2+  3 5+ -3  0 -4 17-  4
Curve Equation t 115600s1 [0,0,0,-1351075,605527250] 1
115600t (1 curve)	0	2+ 5- 17+	2+  1 5-  4  2  5 17+  7
Curve Equation t 115600t1 [0,1,0,-152688,24395828] 1
115600u (1 curve)	2	2+ 5- 17+	2+ -1 5- -4  2 -5 17+  7
Curve Equation t Generators 115600u1 [0,-1,0,-3817208,3057112912] 1 [-1558:72250:1]&[2658:108086:1]
115600v (1 curve)	0	2+ 5- 17+	2+  2 5-  0 -1 -6 17+  1
Curve Equation t 115600v1 [0,-1,0,-113,-403] 1
115600w (2 curves)	0	2+ 5- 17+	2+  2 5-  2 -4  4 17+  4
Curve Equation t 115600w1 [0,-1,0,-24083,576662] 2 115600w2 [0,-1,0,-204708,-35187088] 2
115600x (1 curve)	0	2+ 5- 17+	2+ -2 5-  0 -1  6 17+  1
Curve Equation t 115600x1 [0,1,0,-2833,-56037] 1
115600y (2 curves)	0	2+ 5- 17+	2+ -2 5- -2 -4 -4 17+  4
Curve Equation t 115600y1 [0,1,0,-963,4228] 2 115600y2 [0,1,0,-8188,-284772] 2
115600z (1 curve)	0	2+ 5- 17+	2+ -3 5-  2  1  4 17+ -1
Curve Equation t 115600z1 [0,0,0,36125,6141250] 1
115600ba (1 curve)	1	2+ 5- 17-	2+  2 5-  0  1  6 17-  1
Curve Equation t Generators 115600ba1 [0,-1,0,-818833,-270396963] 1 [-615310502311083159569094:1258139462325294113891875:1446609062471705162568]
115600bb (1 curve)	1	2+ 5- 17-	2+ -2 5-  0  1 -6 17-  1
Curve Equation t Generators 115600bb1 [0,1,0,-32753,-2176277] 1 [-966:1445:8]
115600bc (2 curves)	0	2- 5+ 17+	2-  0 5+  2  4  2 17+ -8
Curve Equation t 115600bc1 [0,0,0,-8075,72250] 2 115600bc2 [0,0,0,-76075,-8019750] 2
115600bd (1 curve)	2	2- 5+ 17+	2-  0 5+ -2 -1  0 17+ -3
Curve Equation t Generators 115600bd1 [0,0,0,-6800,195500] 1 [-35:625:1]&[70:250:1]
115600be (2 curves)	0	2- 5+ 17+	2-  0 5+ -2 -4  2 17+ -8
Curve Equation t 115600be1 [0,0,0,-2333675,354964250] 2 115600be2 [0,0,0,-21985675,-39401031750] 2
115600bf (2 curves)	0	2- 5+ 17+	2-  0 5+  4  2  6 17+  0
Curve Equation t 115600bf1 [0,0,0,-202300,-35005125] 2 115600bf2 [0,0,0,-166175,-47901750] 2
115600bg (4 curves)	0	2- 5+ 17+	2-  0 5+ -4  0  2 17+  4
Curve Equation t 115600bg1 [0,0,0,-79475,-3684750] 2 115600bg2 [0,0,0,-657475,202661250] 4 115600bg3 [0,0,0,-79475,546571250] 2 115600bg4 [0,0,0,-10483475,13064895250] 2
115600bh (1 curve)	0	2- 5+ 17+	2-  1 5+  0  6  5 17+  3
Curve Equation t 115600bh1 [0,1,0,187992,-28840012] 1
115600bi (1 curve)	0	2- 5+ 17+	2-  1 5+ -1 -4  1 17+  6
Curve Equation t 115600bi1 [0,1,0,-13968,-712492] 1
115600bj (2 curves)	0	2- 5+ 17+	2-  1 5+ -3  0 -1 17+  0
Curve Equation t 115600bj1 [0,1,0,483112,-109746412] 1 115600bj2 [0,1,0,-41965208,104831933588] 1
115600bk (1 curve)	0	2- 5+ 17+	2-  1 5+  5  2 -2 17+ -6
Curve Equation t 115600bk1 [0,1,0,992,-8012] 1
115600bl (1 curve)	0	2- 5+ 17+	2- -1 5+  0 -6  5 17+  3
Curve Equation t 115600bl1 [0,-1,0,54329592,-142016956688] 1
115600bm (2 curves)	0	2- 5+ 17+	2- -1 5+  1  0  1 17+  4
Curve Equation t 115600bm1 [0,-1,0,3372,18892] 1 115600bm2 [0,-1,0,-54428,5082172] 1
115600bn (2 curves)	0	2- 5+ 17+	2- -1 5+  1  0  4 17+  4
Curve Equation t 115600bn1 [0,-1,0,-16008,-969488] 1 115600bn2 [0,-1,0,119992,8822512] 1
115600bo (2 curves)	0	2- 5+ 17+	2- -1 5+ -2  0  1 17+  1
Curve Equation t 115600bo1 [0,-1,0,46121992,37411814512] 1 115600bo2 [0,-1,0,-767702008,8451464166512] 1
115600bp (2 curves)	0	2- 5+ 17+	2- -1 5+ -2  0 -5 17+  1
Curve Equation t 115600bp1 [0,-1,0,-291408,-253786688] 1 115600bp2 [0,-1,0,2598592,6508813312] 1
115600bq (4 curves)	0	2- 5+ 17+	2- -1 5+ -2 -3  4 17+ -5
Curve Equation t 115600bq1 [0,-1,0,-13968,-761408] 1 115600bq2 [0,-1,0,101632,5619712] 1 115600bq3 [0,-1,0,-60208,67118912] 1 115600bq4 [0,-1,0,-14510208,21279718912] 1
115600br (2 curves)	0	2- 5+ 17+	2- -1 5+  3  0 -1 17+  0
Curve Equation t 115600br1 [0,-1,0,1672,-22928] 1 115600br2 [0,-1,0,-145208,21388912] 1
115600bs (1 curve)	0	2- 5+ 17+	2- -1 5+  5  4 -3 17+  2
Curve Equation t 115600bs1 [0,-1,0,6274672,980266432] 1
115600bt (2 curves)	0	2- 5+ 17+	2-  2 5+  1 -3  1 17+  4
Curve Equation t 115600bt1 [0,-1,0,992,16512] 1 115600bt2 [0,-1,0,-33008,2328512] 1
115600bu (2 curves)	0	2- 5+ 17+	2-  2 5+  2 -2  6 17+  8
Curve Equation t 115600bu1 [0,-1,0,-869408,-269970688] 2 115600bu2 [0,-1,0,1442592,-1462962688] 2
115600bv (1 curve)	2	2- 5+ 17+	2-  2 5+  2 -5 -6 17+ -7
Curve Equation t Generators 115600bv1 [0,-1,0,-4533,118937] 1 [32:75:1]&[41:18:1]
115600bw (4 curves)	0	2- 5+ 17+	2-  2 5+ -2  0 -2 17+  4
Curve Equation t 115600bw1 [0,-1,0,-9633,-246988] 2 115600bw2 [0,-1,0,26492,-1691988] 2 115600bw3 [0,-1,0,-298633,62899512] 2 115600bw4 [0,-1,0,-262508,78650012] 2
115600bx (2 curves)	0	2- 5+ 17+	2-  2 5+ -2 -3 -2 17+  7
Curve Equation t 115600bx1 [0,-1,0,-4533,93437] 1 115600bx2 [0,-1,0,-344533,77953437] 1
115600by (4 curves)	0	2- 5+ 17+	2-  2 5+ -2  6 -2 17+ -8
Curve Equation t 115600by1 [0,-1,0,-295187008,-1951936447488] 2 115600by2 [0,-1,0,-285939008,-2079965759488] 2 115600by3 [0,-1,0,-481881008,801033624512] 2 115600by4 [0,-1,0,1885606992,6340955544512] 2
115600bz (4 curves)	0	2- 5+ 17+	2-  2 5+  4  6 -2 17+  4
Curve Equation t 115600bz1 [0,-1,0,-349208,-49059088] 2 115600bz2 [0,-1,0,-4973208,-4266147088] 2 115600bz3 [0,-1,0,-11909208,15820508912] 2 115600bz4 [0,-1,0,-13065208,12565212912] 2
115600ca (2 curves)	0	2- 5+ 17+	2- -2 5+  2  2 -2 17+  0
Curve Equation t 115600ca1 [0,1,0,-985008,373923988] 2 115600ca2 [0,1,0,-407008,809735988] 2
115600cb (1 curve)	0	2- 5+ 17+	2-  3 5+  1 -4 -3 17+ -6
Curve Equation t 115600cb1 [0,0,0,903125,-706243750] 1
115600cc (2 curves)	0	2- 5+ 17+	2-  3 5+  4  2 -1 17+  7
Curve Equation t 115600cc1 [0,0,0,-55675,-7441750] 1 115600cc2 [0,0,0,-50443675,137904514250] 1
115600cd (1 curve)	0	2- 5+ 17+	2- -3 5+  1  2  6 17+ -6
Curve Equation t 115600cd1 [0,0,0,-139897675,-709573535750] 1
115600ce (1 curve)	2	2- 5+ 17+	2- -3 5+ -2 -4  3 17+ -3
Curve Equation t Generators 115600ce1 [0,0,0,-1177675,492528250] 1 [-1190:14450:1]&[255:14450:1]
115600cf (2 curves)	0	2- 5+ 17+	2- -3 5+ -4 -2 -1 17+  7
Curve Equation t 115600cf1 [0,0,0,-16090075,-36561317750] 1 115600cf2 [0,0,0,-14578222075,677524878510250] 1
115600cg (1 curve)	1	2- 5+ 17-	2-  0 5+  2  1  0 17- -3
Curve Equation t Generators 115600cg1 [0,0,0,-1965200,960491500] 1 [1734:52598:1]
115600ch (2 curves)	1	2- 5+ 17-	2-  1 5+ -1  0  4 17-  4
Curve Equation t Generators 115600ch1 [0,1,0,-4626408,-4790852812] 1 [140502211465169125910341844:34058196091273828835018432750:2387935535923509501203] 115600ch2 [0,1,0,34677592,43553067188] 1 [12911327452:9394781582750:24389]
115600ci (1 curve)	1	2- 5+ 17-	2- -1 5+ -5 -2 -2 17- -6
Curve Equation t Generators 115600ci1 [0,-1,0,286592,-41082688] 1 [482:-14450:1]
115600cj (2 curves)	1	2- 5+ 17-	2- -2 5+ -1  3  1 17-  4
Curve Equation t Generators 115600cj1 [0,1,0,286592,82843188] 1 [-212:3550:1] 115600cj2 [0,1,0,-9539408,11382743188] 1 [-3372:72250:1]
115600ck (2 curves)	1	2- 5+ 17-	2- -2 5+  2  3 -2 17-  7
Curve Equation t Generators 115600ck1 [0,1,0,-1310133,451195363] 1 [-74428:1285375:64] 115600ck2 [0,1,0,-99570133,382387815363] 1 [367972:93925:64]
115600cl (1 curve)	1	2- 5+ 17-	2- -2 5+ -2  5 -6 17- -7
Curve Equation t Generators 115600cl1 [0,1,0,-1310133,576476863] 1 [963:14450:1]
115600cm (1 curve)	1	2- 5+ 17-	2-  3 5+ -1 -2  6 17- -6
Curve Equation t Generators 115600cm1 [0,0,0,-484075,-144427750] 1 [797235315:37417765850:328509]
115600cn (1 curve)	1	2- 5- 17+	2-  1 5-  0 -6  3 17+  7
Curve Equation t Generators 115600cn1 [0,1,0,-2083208,-1521222412] 1 [75610178:2910808000:29791]
115600co (2 curves)	1	2- 5- 17+	2-  1 5- -1  0 -1 17+  4
Curve Equation t Generators 115600co1 [0,1,0,84292,2530088] 1 [76074120493:4932022711748:18191447] 115600co2 [0,1,0,-1360708,632550088] 1 [37683:7311700:1]
115600cp (2 curves)	1	2- 5- 17+	2-  1 5-  2  0  1 17+  5
Curve Equation t Generators 115600cp1 [0,1,0,2251792,-1642602412] 1 [177680503876:2934930484934:270840023] 115600cp2 [0,1,0,-538178208,-4805672262412] 1 [2121592521741488904786931575888277381296754552486292:395182596670561115658519575287255304836884400168300978:44205267941608438816247257251825740532054493841]
115600cq (2 curves)	1	2- 5- 17+	2-  1 5-  2  0 -1 17+  5
Curve Equation t Generators 115600cq1 [0,1,0,312,-2572] 1 [28:-170:1] 115600cq2 [0,1,0,-74488,-7849772] 1 [708:17170:1]
115600cr (4 curves)	1	2- 5- 17+	2-  1 5-  2 -3 -4 17+ -5
Curve Equation t Generators 115600cr1 [0,1,0,-2408,535988] 1 [134:1624:1] 115600cr2 [0,1,0,-580408,170005588] 1 [438:-80:1] 115600cr3 [0,1,0,-349208,-95874412] 1 [340955470174:-31541285392736:39651821] 115600cr4 [0,1,0,2540792,707545588] 1 [201498:44057600:1331]
115600cs (2 curves)	1	2- 5- 17+	2-  1 5- -3  0  1 17+  0
Curve Equation t Generators 115600cs1 [0,1,0,-5808,168788] 1 [28:170:1] 115600cs2 [0,1,0,41792,-2782412] 1 [708:19550:1]
115600ct (1 curve)	1	2- 5- 17+	2-  1 5- -3  6 -6 17+ -2
Curve Equation t Generators 115600ct1 [0,1,0,-708,-19912] 1 [212279:879250:4913]
115600cu (1 curve)	1	2- 5- 17+	2-  1 5- -5  4  3 17+  2
Curve Equation t Generators 115600cu1 [0,1,0,156866792,122847037588] 1 [-36643764:4801956374:50653]
115600cv (1 curve)	1	2- 5- 17+	2- -1 5-  0 -6 -3 17+  7
Curve Equation t Generators 115600cv1 [0,-1,0,-83328,-12136448] 1 [346:578:1]
115600cw (1 curve)	1	2- 5- 17+	2- -1 5-  1 -4 -1 17+  6
Curve Equation t Generators 115600cw1 [0,-1,0,-349208,-88363088] 1 [86770:224842:125]
115600cx (2 curves)	1	2- 5- 17+	2- -1 5- -2  0  1 17+  5
Curve Equation t Generators 115600cx1 [0,-1,0,7792,-337088] 1 [42:250:1] 115600cx2 [0,-1,0,-1862208,-977497088] 1 [194934:16241750:27]
115600cy (2 curves)	1	2- 5- 17+	2- -1 5- -2  0 -1 17+  5
Curve Equation t Generators 115600cy1 [0,-1,0,90072,-13176848] 1 [3372:196520:1] 115600cy2 [0,-1,0,-21527128,-38436767248] 1 [49677852:187873120:9261]
115600cz (2 curves)	1	2- 5- 17+	2- -1 5-  3  0  1 17+  0
Curve Equation t Generators 115600cz1 [0,-1,0,-1678608,839326912] 1 [197694:2721802:343] 115600cz2 [0,-1,0,12077792,-13742457088] 1 [2155172734032264702:-176933587018276141894:446276533468059]
115600da (1 curve)	1	2- 5- 17+	2- -1 5-  3  6  6 17+ -2
Curve Equation t Generators 115600da1 [0,-1,0,-28,-148] 1 [219:260:27]
115600db (2 curves)	1	2- 5- 17+	2-  2 5- -3  3  3 17+  4
Curve Equation t Generators 115600db1 [0,-1,0,-264208,58686912] 1 [3169362:26571250:9261] 115600db2 [0,-1,0,-351484208,-2536233873088] 1 [872206264912373825681203218497438764973753738558178870471484984838057665443948751943561103993806022:-324417121543696065469974647059538075330665567204817556061332538390141277222643560153670981417533616250:6187230055774075099536470747595733336627118238802450569724163747850224931879188259514400085591]
115600dc (2 curves)	1	2- 5- 17+	2- -2 5-  3  3 -3 17+  4
Curve Equation t Generators 115600dc1 [0,1,0,-10568,465268] 1 [478:10240:1] 115600dc2 [0,1,0,-14059368,-20295494732] 1 [145639768698:-20690852792440:6967871]
115600dd (1 curve)	1	2- 5- 17+	2- -3 5- -1 -4  3 17+ -6
Curve Equation t Generators 115600dd1 [0,0,0,36125,-5649950] 1 [119:578:1]
115600de (1 curve)	0	2- 5- 17-	2-  1 5- -3 -6  6 17- -2
Curve Equation t 115600de1 [0,1,0,-8188,-776072] 1
115600df (1 curve)	0	2- 5- 17-	2- -1 5-  3 -6 -6 17- -2
Curve Equation t 115600df1 [0,-1,0,-204708,-96599588] 1
115600dg (2 curves)	0	2- 5- 17-	2-  2 5- -3 -3 -3 17-  4
Curve Equation t 115600dg1 [0,-1,0,-48648,-4113808] 1 115600dg2 [0,-1,0,-3054248,2304186992] 1
115600dh (2 curves)	0	2- 5- 17-	2- -2 5-  3 -3  3 17-  4
Curve Equation t 115600dh1 [0,1,0,-1216208,-516658412] 1 115600dh2 [0,1,0,-76356208,287870661588] 1

Data from Elliptic Curve Data by J. E. Cremona.
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