Cremona's table of elliptic curves

78650 = 2 · 5² · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
78650a (1 curve)	1	2+ 5+ 11+ 13+	2+  0 5+ -1 11+ 13+  2 -6
Curve Equation t Generators 78650a1 [1,-1,0,808,1216] 1 [3:59:1]
78650b (2 curves)	1	2+ 5+ 11+ 13+	2+  0 5+  4 11+ 13+  2  4
Curve Equation t Generators 78650b1 [1,-1,0,-46570442,141817677216] 2 [-4062350296739:450528892993332:881974079] 78650b2 [1,-1,0,-777622192,8346411467466] 2 [976644938409178320065:-150680526472547068316542:25519428716302997]
78650c (1 curve)	0	2+ 5+ 11- 13+	2+  1 5+  1 11- 13+ -1 -3
Curve Equation t 78650c1 [1,0,1,-3236213126,169030056130648] 1
78650d (1 curve)	0	2+ 5+ 11- 13+	2+  1 5+  1 11- 13+ -1  4
Curve Equation t 78650d1 [1,0,1,-101401,-12469052] 1
78650e (1 curve)	0	2+ 5+ 11- 13+	2+  1 5+ -2 11- 13+ -1  6
Curve Equation t 78650e1 [1,0,1,-33751,75898] 1
78650f (1 curve)	0	2+ 5+ 11- 13+	2+  1 5+ -4 11- 13+ -1 -6
Curve Equation t 78650f1 [1,0,1,-4759330876,126345488619898] 1
78650g (1 curve)	0	2+ 5+ 11- 13+	2+  1 5+ -4 11- 13+  3  6
Curve Equation t 78650g1 [1,0,1,-40901,235948] 1
78650h (2 curves)	2	2+ 5+ 11- 13+	2+ -1 5+ -2 11- 13+ -3  8
Curve Equation t Generators 78650h1 [1,1,0,-1575,11125] 1 [-26:201:1]&[-5:140:1] 78650h2 [1,1,0,-62075,-5978375] 1 [-145:85:1]&[-144:91:1]
78650i (2 curves)	0	2+ 5+ 11- 13+	2+  2 5+  4 11- 13+  0  2
Curve Equation t 78650i1 [1,1,0,-40900,3747000] 1 78650i2 [1,1,0,291850,-23871250] 1
78650j (2 curves)	0	2+ 5+ 11- 13+	2+ -2 5+  4 11- 13+  2  0
Curve Equation t 78650j1 [1,0,1,-416001,-106219852] 2 78650j2 [1,0,1,-6708001,-6687651852] 2
78650k (1 curve)	1	2+ 5+ 11- 13-	2+  0 5+ -5 11- 13-  6  4
Curve Equation t Generators 78650k1 [1,-1,0,-32027,765221] 1 [-7:998:1]
78650l (1 curve)	1	2+ 5+ 11- 13-	2+  1 5+  1 11- 13-  0 -4
Curve Equation t Generators 78650l1 [1,0,1,-6526,318448] 1 [101:781:1]
78650m (1 curve)	1	2+ 5+ 11- 13-	2+  1 5+ -1 11- 13-  5 -3
Curve Equation t Generators 78650m1 [1,0,1,80099,-308552] 1 [32:1496:1]
78650n (1 curve)	1	2+ 5+ 11- 13-	2+  1 5+  2 11- 13-  1  2
Curve Equation t Generators 78650n1 [1,0,1,-406926,-97858752] 1 [-129549:548603:343]
78650o (1 curve)	1	2+ 5+ 11- 13-	2+  1 5+ -4 11- 13-  5  6
Curve Equation t Generators 78650o1 [1,0,1,-1696401,-850575552] 1 [-111964143:55915134:148877]
78650p (3 curves)	1	2+ 5+ 11- 13-	2+ -1 5+ -1 11- 13- -3 -2
Curve Equation t Generators 78650p1 [1,1,0,1450,-34250] 1 [149:1801:1] 78650p2 [1,1,0,-13675,1221125] 1 [61:-817:1] 78650p3 [1,1,0,-1390050,630224500] 1 [5438:-2477:8]
78650q (3 curves)	1	2+ 5+ 11- 13-	2+ -1 5+ -1 11- 13- -3  7
Curve Equation t Generators 78650q1 [1,1,0,-1474750,-970393750] 1 [528815:6794430:343] 78650q2 [1,1,0,11759625,13071278125] 1 [-995:20160:1] 78650q3 [1,1,0,-282194750,1842323792500] 1 [-143810:8487455:8]
78650r (2 curves)	1	2+ 5+ 11- 13-	2+ -1 5+  2 11- 13-  3  4
Curve Equation t Generators 78650r1 [1,1,0,-30450,-2055500] 1 [340:-5370:1] 78650r2 [1,1,0,-119825,13871125] 1 [129710:1573545:343]
78650s (2 curves)	1	2+ 5+ 11- 13-	2+  2 5+ -1 11- 13-  3  4
Curve Equation t Generators 78650s1 [1,1,0,-77200,-8413500] 1 [1501012805225934:1271428363560144:4664997088829] 78650s2 [1,1,0,300925,-39797875] 1 [167354:203831:1331]
78650t (2 curves)	1	2+ 5+ 11- 13-	2+  2 5+ -1 11- 13-  6 -8
Curve Equation t Generators 78650t1 [1,1,0,-19725,-7127875] 1 [4822:110845:8] 78650t2 [1,1,0,176900,188514000] 1 [18155286:745982685:39304]
78650u (4 curves)	1	2+ 5+ 11- 13-	2+  2 5+ -4 11- 13- -6 -2
Curve Equation t Generators 78650u1 [1,1,0,-98375,-11846875] 2 [632970:-17541035:729] 78650u2 [1,1,0,-37875,-26185375] 2 [440:6305:1] 78650u3 [1,1,0,-627750,183492500] 2 [-709:16871:1] 78650u4 [1,1,0,340250,699436500] 2 [1140:50130:1]
78650v (1 curve)	1	2+ 5+ 11- 13-	2+ -3 5+ -2 11- 13- -3 -2
Curve Equation t Generators 78650v1 [1,-1,0,-103417,-12772259] 1 [-186:143:1]
78650w (2 curves)	0	2+ 5- 11+ 13+	2+  2 5-  0 11+ 13+  2 -4
Curve Equation t 78650w1 [1,1,0,-1905,-32875] 2 78650w2 [1,1,0,-30505,-2063475] 2
78650x (2 curves)	0	2+ 5- 11+ 13+	2+ -2 5-  0 11+ 13+  2  4
Curve Equation t 78650x1 [1,0,1,-5764201,5337013548] 2 78650x2 [1,0,1,-92279201,341188243548] 2
78650y (1 curve)	1	2+ 5- 11+ 13-	2+  1 5-  1 11+ 13-  3 -1
Curve Equation t Generators 78650y1 [1,0,1,-1496201,-11843622452] 1 [10760056704:366470211547:3581577]
78650z (1 curve)	1	2+ 5- 11+ 13-	2+  1 5- -3 11+ 13-  7 -1
Curve Equation t Generators 78650z1 [1,0,1,-27591,2006178] 1 [252:3201:1]
78650ba (1 curve)	1	2+ 5- 11+ 13-	2+ -1 5-  1 11+ 13-  3  1
Curve Equation t Generators 78650ba1 [1,1,0,-7241610,126106546900] 1 [2325225:212659210:343]
78650bb (1 curve)	1	2+ 5- 11+ 13-	2+ -1 5- -3 11+ 13-  7  1
Curve Equation t Generators 78650bb1 [1,1,0,-5700,-191000] 1 [435:8720:1]
78650bc (1 curve)	1	2+ 5- 11- 13+	2+  2 5-  0 11- 13+  2 -4
Curve Equation t Generators 78650bc1 [1,1,0,-1178905,492190725] 1 [18075:41870:27]
78650bd (1 curve)	1	2+ 5- 11- 13+	2+ -2 5-  0 11- 13+  2  4
Curve Equation t Generators 78650bd1 [1,0,1,-243576,-46290202] 1 [221730784:28794037:389017]
78650be (2 curves)	1	2+ 5- 11- 13+	2+ -2 5-  0 11- 13+  2  4
Curve Equation t Generators 78650be1 [1,0,1,37115174,43096273548] 2 [43912819029:10991114152873:704969] 78650be2 [1,0,1,-167374826,364554553548] 2 [249777:124541861:1]
78650bf (2 curves)	1	2+ 5- 11- 13+	2+ -2 5- -5 11- 13+ -3  4
Curve Equation t Generators 78650bf1 [1,0,1,-394826,120703548] 1 [477:6161:1] 78650bf2 [1,0,1,-34274826,77231583548] 1 [3381:-1583:1]
78650bg (1 curve)	1	2+ 5- 11- 13+	2+  3 5-  0 11- 13+  7 -1
Curve Equation t Generators 78650bg1 [1,-1,0,-67117,-6716209] 1 [16955356448936442315:1233166378905093112994:3153823011397449]
78650bh (1 curve)	0	2+ 5- 11- 13-	2+  0 5- -5 11- 13-  6 -4
Curve Equation t 78650bh1 [1,-1,0,-6617,-69459] 1
78650bi (1 curve)	2	2+ 5- 11- 13-	2+  1 5- -3 11- 13- -4  2
Curve Equation t Generators 78650bi1 [1,0,1,-1272076,-644833202] 1 [1427:20411:1]&[1583:35387:1]
78650bj (1 curve)	2	2+ 5- 11- 13-	2+ -1 5- -3 11- 13- -4 -2
Curve Equation t Generators 78650bj1 [1,1,0,-420,3700] 1 [-24:38:1]&[15:25:1]
78650bk (1 curve)	0	2+ 5- 11- 13-	2+ -1 5-  4 11- 13-  7  3
Curve Equation t 78650bk1 [1,1,0,1450,-233900] 1
78650bl (2 curves)	0	2+ 5- 11- 13-	2+  2 5-  0 11- 13-  0 -4
Curve Equation t 78650bl1 [1,1,0,-3324840,2331617600] 2 78650bl2 [1,1,0,-2937640,2895768000] 2
78650bm (2 curves)	0	2+ 5- 11- 13-	2+  2 5-  0 11- 13-  8  4
Curve Equation t 78650bm1 [1,1,0,-485575,-130245375] 2 78650bm2 [1,1,0,-334325,-212676625] 2
78650bn (1 curve)	0	2+ 5- 11- 13-	2+  2 5- -4 11- 13-  6 -8
Curve Equation t 78650bn1 [1,1,0,-533370,3477790100] 1
78650bo (1 curve)	0	2+ 5- 11- 13-	2+ -2 5- -4 11- 13-  6  8
Curve Equation t 78650bo1 [1,0,1,-110201,-326644452] 1
78650bp (1 curve)	1	2- 5+ 11+ 13-	2-  0 5+  1 11+ 13- -2  6
Curve Equation t Generators 78650bp1 [1,-1,1,97745,-1911753] 1 [3963:248246:1]
78650bq (2 curves)	1	2- 5+ 11+ 13-	2-  0 5+ -4 11+ 13- -2 -4
Curve Equation t Generators 78650bq1 [1,-1,1,-384880,-106444753] 2 [2651026:55093765:2744] 78650bq2 [1,-1,1,-6426630,-6269029753] 2 [16634450:-1164460571:2744]
78650br (1 curve)	1	2- 5+ 11- 13+	2-  0 5+  5 11- 13+ -6 -4
Curve Equation t Generators 78650br1 [1,-1,1,-265,-503] 1 [-5:28:1]
78650bs (1 curve)	1	2- 5+ 11- 13+	2-  1 5+ -1 11- 13+  0  4
Curve Equation t Generators 78650bs1 [1,0,0,-789588,-424644208] 1 [1462:38594:1]
78650bt (1 curve)	1	2- 5+ 11- 13+	2-  1 5+ -2 11- 13+ -1 -2
Curve Equation t Generators 78650bt1 [1,0,0,-3363,73217] 1 [22:89:1]
78650bu (1 curve)	1	2- 5+ 11- 13+	2-  1 5+  4 11- 13+ -5 -6
Curve Equation t Generators 78650bu1 [1,0,0,-205264463,1131910794917] 1 [87079737854:682631468373:11089567]
78650bv (1 curve)	1	2- 5+ 11- 13+	2-  1 5+ -4 11- 13+ -7  3
Curve Equation t Generators 78650bv1 [1,0,0,36237,-29309983] 1 [838:23865:1]
78650bw (2 curves)	1	2- 5+ 11- 13+	2- -1 5+ -2 11- 13+ -3 -4
Curve Equation t Generators 78650bw1 [1,1,1,-3684513,2717448031] 1 [655:23872:1] 78650bw2 [1,1,1,-14498888,-18534961719] 1 [-2075:52237:1]
78650bx (1 curve)	1	2- 5+ 11- 13+	2- -2 5+  1 11- 13+  2  4
Curve Equation t Generators 78650bx1 [1,0,0,-199713,47452417] 1 [2214:28175:8]
78650by (2 curves)	1	2- 5+ 11- 13+	2- -2 5+ -4 11- 13+  2 -6
Curve Equation t Generators 78650by1 [1,0,0,-2544088,1561449792] 2 [872:2064:1] 78650by2 [1,0,0,-2302088,1870483792] 2 [142:39254:1]
78650bz (2 curves)	1	2- 5+ 11- 13+	2-  3 5+  1 11- 13+ -3 -6
Curve Equation t Generators 78650bz1 [1,-1,1,-8130,-429503] 1 [14601:326767:27] 78650bz2 [1,-1,1,-643380,218096497] 1 [41206104853483009426533498:590274664362131041734393091:59309719342038837024696]
78650ca (1 curve)	1	2- 5+ 11- 13+	2- -3 5+ -1 11- 13+ -3 -1
Curve Equation t Generators 78650ca1 [1,-1,1,-171480,-30752103] 1 [32342:2028725:8]
78650cb (1 curve)	1	2- 5+ 11- 13+	2- -3 5+  2 11- 13+  3  2
Curve Equation t Generators 78650cb1 [1,-1,1,-12513480,17037417147] 1 [1999:1825:1]
78650cc (4 curves)	0	2- 5+ 11- 13-	2-  0 5+  0 11- 13-  2 -4
Curve Equation t 78650cc1 [1,-1,1,-174078730,-891179538103] 4 78650cc2 [1,-1,1,-2791550730,-56768971794103] 4 78650cc3 [1,-1,1,-2797842730,-56500202722103] 2 78650cc4 [1,-1,1,-44664810730,-3633247854914103] 2
78650cd (4 curves)	0	2- 5+ 11- 13-	2-  0 5+  0 11- 13-  2  8
Curve Equation t 78650cd1 [1,-1,1,-20230,405397] 2 78650cd2 [1,-1,1,-262230,51709397] 4 78650cd3 [1,-1,1,-201730,76151397] 2 78650cd4 [1,-1,1,-4194730,3307819397] 2
78650ce (1 curve)	0	2- 5+ 11- 13-	2-  1 5+  1 11- 13- -5  3
Curve Equation t 78650ce1 [1,0,0,-2831463,-1834218583] 1
78650cf (1 curve)	0	2- 5+ 11- 13-	2-  1 5+  2 11- 13-  1 -6
Curve Equation t 78650cf1 [1,0,0,-4083813,-105104383] 1
78650cg (2 curves)	0	2- 5+ 11- 13-	2-  1 5+  3 11- 13-  3  0
Curve Equation t 78650cg1 [1,0,0,846937,-45935383] 1 78650cg2 [1,0,0,-84488313,298977038867] 1
78650ch (1 curve)	0	2- 5+ 11- 13-	2-  1 5+  4 11- 13-  1  6
Curve Equation t 78650ch1 [1,0,0,-39333313,-94928811383] 1
78650ci (1 curve)	0	2- 5+ 11- 13-	2-  1 5+  4 11- 13- -3 -6
Curve Equation t 78650ci1 [1,0,0,-338,-208] 1
78650cj (1 curve)	0	2- 5+ 11- 13-	2-  1 5+ -5 11- 13-  7  0
Curve Equation t 78650cj1 [1,0,0,39262,-28574908] 1
78650ck (2 curves)	0	2- 5+ 11- 13-	2- -1 5+  2 11- 13-  3 -8
Curve Equation t 78650ck1 [1,1,1,-190638,-15760469] 1 78650ck2 [1,1,1,-7511138,7919661531] 1
78650cl (2 curves)	0	2- 5+ 11- 13-	2-  2 5+ -4 11- 13-  0 -2
Curve Equation t 78650cl1 [1,1,1,-338,-2969] 1 78650cl2 [1,1,1,2412,19031] 1
78650cm (4 curves)	0	2- 5+ 11- 13-	2-  2 5+ -4 11- 13- -6 -8
Curve Equation t 78650cm1 [1,1,1,314537,1572781] 2 78650cm2 [1,1,1,-1258463,11010781] 2 78650cm3 [1,1,1,-4343963,3719055781] 2 78650cm4 [1,1,1,-70803213,229281750281] 2
78650cn (2 curves)	0	2- 5+ 11- 13-	2-  2 5+  5 11- 13-  3  4
Curve Equation t 78650cn1 [1,1,1,-15793,959311] 1 78650cn2 [1,1,1,-1370993,617304271] 1
78650co (1 curve)	0	2- 5+ 11- 13-	2- -2 5+ -3 11- 13- -6  0
Curve Equation t 78650co1 [1,0,0,-63,135367] 1
78650cp (2 curves)	0	2- 5+ 11- 13-	2- -2 5+  4 11- 13- -2  0
Curve Equation t 78650cp1 [1,0,0,60437,5187117] 2 78650cp2 [1,0,0,-332813,48051367] 2
78650cq (2 curves)	0	2- 5+ 11- 13-	2- -2 5+  4 11- 13- -6  0
Curve Equation t 78650cq1 [1,0,0,27312662,-189770223708] 2 78650cq2 [1,0,0,-375375338,-2564421359708] 2
78650cr (1 curve)	0	2- 5+ 11- 13-	2-  3 5+ -3 11- 13- -1  5
Curve Equation t 78650cr1 [1,-1,1,-9246480,-22045219853] 1
78650cs (1 curve)	0	2- 5+ 11- 13-	2- -3 5+  0 11- 13- -7 -1
Curve Equation t 78650cs1 [1,-1,1,-2685,-53193] 1
78650ct (1 curve)	1	2- 5- 11+ 13+	2-  1 5- -1 11+ 13+ -3  1
Curve Equation t Generators 78650ct1 [1,0,0,-181040263,15763680443017] 1 [-20298:3338149:1]
78650cu (1 curve)	1	2- 5- 11+ 13+	2-  1 5-  3 11+ 13+ -7  1
Curve Equation t Generators 78650cu1 [1,0,0,-228,-1528] 1 [22:54:1]
78650cv (1 curve)	1	2- 5- 11+ 13+	2- -1 5- -1 11+ 13+ -3 -1
Curve Equation t Generators 78650cv1 [1,1,1,-59848,-94772919] 1 [2789:-147827:1]
78650cw (1 curve)	1	2- 5- 11+ 13+	2- -1 5-  3 11+ 13+ -7 -1
Curve Equation t Generators 78650cw1 [1,1,1,-689763,250772281] 1 [-71:17338:1]
78650cx (2 curves)	0	2- 5- 11+ 13-	2-  2 5-  0 11+ 13- -2  4
Curve Equation t 78650cx1 [1,1,1,-230568,42603881] 2 78650cx2 [1,1,1,-3691168,2728029481] 2
78650cy (2 curves)	0	2- 5- 11+ 13-	2- -2 5-  0 11+ 13- -2 -4
Curve Equation t 78650cy1 [1,0,0,-47638,-4014108] 2 78650cy2 [1,0,0,-762638,-256409108] 2
78650cz (1 curve)	0	2- 5- 11- 13+	2-  0 5-  5 11- 13+ -6  4
Curve Equation t 78650cz1 [1,-1,1,-800680,94851947] 1
78650da (1 curve)	0	2- 5- 11- 13+	2-  1 5-  3 11- 13+  4 -2
Curve Equation t 78650da1 [1,0,0,-10513,483517] 1
78650db (1 curve)	0	2- 5- 11- 13+	2- -1 5-  3 11- 13+  4  2
Curve Equation t 78650db1 [1,1,1,-50883,-5179019] 1
78650dc (1 curve)	0	2- 5- 11- 13+	2-  2 5-  4 11- 13+ -6  8
Curve Equation t 78650dc1 [1,1,1,-4408,-2614919] 1
78650dd (2 curves)	0	2- 5- 11- 13+	2- -2 5-  0 11- 13+  0 -4
Curve Equation t 78650dd1 [1,0,0,-83121013,291618442017] 2 78650dd2 [1,0,0,-73441013,362117882017] 2
78650de (2 curves)	0	2- 5- 11- 13+	2- -2 5-  0 11- 13+ -8  4
Curve Equation t 78650de1 [1,0,0,-19423,-1041963] 2 78650de2 [1,0,0,-13373,-1701413] 2
78650df (2 curves)	0	2- 5- 11- 13+	2- -2 5-  1 11- 13+ -3  4
Curve Equation t 78650df1 [1,0,0,-3088,-67308] 1 78650df2 [1,0,0,12037,-318383] 1
78650dg (1 curve)	0	2- 5- 11- 13+	2- -2 5-  4 11- 13+ -6 -8
Curve Equation t 78650dg1 [1,0,0,-13334263,434750431017] 1
78650dh (1 curve)	1	2- 5- 11- 13-	2-  2 5-  0 11- 13- -2  4
Curve Equation t Generators 78650dh1 [1,1,1,-9743,-374219] 1 [7365:108794:27]
78650di (2 curves)	1	2- 5- 11- 13-	2-  2 5-  0 11- 13- -2  4
Curve Equation t Generators 78650di1 [1,1,1,1484607,345364031] 2 [711:41608:1] 78650di2 [1,1,1,-6694993,2913758431] 2 [66387:-1015864:27]
78650dj (1 curve)	1	2- 5- 11- 13-	2- -2 5-  0 11- 13- -2 -4
Curve Equation t Generators 78650dj1 [1,0,0,-29472638,61582785892] 1 [3102:1574:1]

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