Cremona's table of elliptic curves

75712 = 2⁶ · 7 · 13²

Class	r	Atkin-Lehner	Eigenvalues
75712a (1 curve)	1	2+ 7+ 13+	2+  0  1 7+  2 13+ -3  6
Curve Equation t Generators 75712a1 [0,0,0,-1573052,761778992] 1 [676:2704:1]
75712b (4 curves)	1	2+ 7+ 13+	2+  0 -2 7+  4 13+  2 -4
Curve Equation t Generators 75712b1 [0,0,0,169,149396] 2 [267280:12359646:125] 75712b2 [0,0,0,-41236,3163680] 4 [-220:1260:1] 75712b3 [0,0,0,-88556,-5448560] 2 [-30880:145332:125] 75712b4 [0,0,0,-656396,204690096] 2 [8568:789660:1]
75712c (1 curve)	1	2+ 7+ 13+	2+  0  3 7+ -2 13+ -7  2
Curve Equation t Generators 75712c1 [0,0,0,114244,-5940688] 1 [12920:330052:125]
75712d (1 curve)	1	2+ 7+ 13+	2+  0 -3 7+ -2 13+ -4 -1
Curve Equation t Generators 75712d1 [0,0,0,-394784,95683744] 1 [273:2873:1]
75712e (1 curve)	1	2+ 7+ 13+	2+  1  0 7+  3 13+  4  2
Curve Equation t Generators 75712e1 [0,1,0,-5633,-401569] 1 [914:27547:1]
75712f (3 curves)	1	2+ 7+ 13+	2+ -1  0 7+ -3 13+  0  2
Curve Equation t Generators 75712f1 [0,-1,0,75487,-8554079] 1 [153:2560:1] 75712f2 [0,-1,0,-2087713,-1167942751] 1 [10969:1138240:1] 75712f3 [0,-1,0,-169411233,-848657634527] 1 [2286099717769:-69080762779040:148035889]
75712g (2 curves)	1	2+ 7+ 13+	2+ -1  3 7+  0 13+  6 -4
Curve Equation t Generators 75712g1 [0,-1,0,191,-703] 1 [49:352:1] 75712g2 [0,-1,0,-3969,-96383] 1 [9245:11968:125]
75712h (6 curves)	1	2+ 7+ 13+	2+  2  0 7+  0 13+  6  2
Curve Equation t Generators 75712h1 [0,-1,0,-5633,331265] 2 [411789:3781504:9261] 75712h2 [0,-1,0,-113793,14803073] 2 [3099:48608:27] 75712h3 [0,-1,0,48447,-6904639] 2 [43860166256103855:-1153845500924233216:69198737241375] 75712h4 [0,-1,0,-384193,-75002175] 2 [-12590799495:-152972972992:41063625] 75712h5 [0,-1,0,-1844353,-966251391] 2 [87143889355609419037110127478838715419591002821365:2110875799641861880520753721735217886622714125320192:46870363200351512438660799483140132372880919125] 75712h6 [0,-1,0,-29533313,-61765669759] 2 [121713887606097522347015593:5896709773259514138671838720:16367177251121427252361]
75712i (1 curve)	1	2+ 7+ 13+	2+  2 -1 7+ -2 13+  1  4
Curve Equation t Generators 75712i1 [0,-1,0,313439,142285857] 1 [-242991:594944:729]
75712j (1 curve)	1	2+ 7+ 13+	2+  2 -1 7+  4 13+ -6  1
Curve Equation t Generators 75712j1 [0,-1,0,-901,903837] 1 [4814268:96065853:12167]
75712k (1 curve)	1	2+ 7+ 13+	2+  2 -3 7+  0 13+ -1 -2
Curve Equation t Generators 75712k1 [0,-1,0,48,194] 1 [-1:12:1]
75712l (3 curves)	1	2+ 7+ 13+	2+  2 -3 7+  0 13+ -6 -7
Curve Equation t Generators 75712l1 [0,-1,0,-4957,136239] 1 [-30:507:1] 75712l2 [0,-1,0,8563,664871] 1 [1970:112047:125] 75712l3 [0,-1,0,-79317,-21164521] 1 [8451970:2197732953:125]
75712m (2 curves)	1	2+ 7+ 13+	2+  2 -3 7+ -6 13+ -3 -4
Curve Equation t Generators 75712m1 [0,-1,0,-7349697,7672758209] 1 [1553:1344:1] 75712m2 [0,-1,0,1789823,25079888001] 1 [7093779:574000896:1331]
75712n (1 curve)	1	2+ 7+ 13+	2+ -2  1 7+  2 13+ -3 -8
Curve Equation t Generators 75712n1 [0,1,0,-225,-1793] 1 [27:-112:1]
75712o (1 curve)	1	2+ 7+ 13+	2+ -2  3 7+  0 13+ -1 -2
Curve Equation t Generators 75712o1 [0,1,0,8056,-458522] 1 [6305:35066:125]
75712p (1 curve)	1	2+ 7+ 13+	2+ -2  3 7+  0 13+ -2  5
Curve Equation t Generators 75712p1 [0,1,0,723771,155928163] 1 [6344586464886:384000259380959:18005329061]
75712q (2 curves)	1	2+ 7+ 13+	2+ -2 -4 7+  0 13+ -2 -2
Curve Equation t Generators 75712q1 [0,1,0,-225,-71681] 2 [59:352:1] 75712q2 [0,1,0,-27265,-1721121] 2 [-101:112:1]
75712r (1 curve)	1	2+ 7+ 13+	2+ -3  0 7+ -5 13+ -4  2
Curve Equation t Generators 75712r1 [0,0,0,-239980,988157872] 1 [2717:142805:1]
75712s (1 curve)	1	2+ 7+ 13+	2+ -3 -3 7+  4 13+  2 -4
Curve Equation t Generators 75712s1 [0,0,0,-200044,-34443344] 1 [190666:1753088:343]
75712t (1 curve)	0	2+ 7+ 13-	2+  0  3 7+ -2 13-  2  3
Curve Equation t 75712t1 [0,0,0,-26,338] 1
75712u (1 curve)	0	2+ 7+ 13-	2+  0 -3 7+ -2 13-  2  3
Curve Equation t 75712u1 [0,0,0,-4394,-742586] 1
75712v (2 curves)	0	2+ 7+ 13-	2+  1 -2 7+  5 13-  2 -4
Curve Equation t 75712v1 [0,1,0,-178689,-30643105] 1 75712v2 [0,1,0,524351,1854769567] 1
75712w (1 curve)	0	2+ 7- 13+	2+  0 -1 7-  2 13+  0 -7
Curve Equation t 75712w1 [0,0,0,-45968,-4147936] 1
75712x (1 curve)	2	2+ 7- 13+	2+  0 -1 7- -2 13+ -3 -6
Curve Equation t Generators 75712x1 [0,0,0,-9308,346736] 1 [-107:343:1]&[40:196:1]
75712y (4 curves)	0	2+ 7- 13+	2+  0  2 7-  4 13+ -6  0
Curve Equation t 75712y1 [0,0,0,9370036,7493668208] 2 75712y2 [0,0,0,-46007884,65950600560] 4 75712y3 [0,0,0,-338472524,-2350626226832] 2 75712y4 [0,0,0,-639589964,6223771098480] 2
75712z (4 curves)	0	2+ 7- 13+	2+  0  2 7- -4 13+ -6  8
Curve Equation t 75712z1 [0,0,0,676,35152] 2 75712z2 [0,0,0,-12844,527280] 4 75712z3 [0,0,0,-39884,-2425488] 2 75712z4 [0,0,0,-202124,34976240] 2
75712ba (4 curves)	0	2+ 7- 13+	2+  0 -2 7- -4 13+  2  4
Curve Equation t 75712ba1 [0,0,0,169,-149396] 2 75712ba2 [0,0,0,-41236,-3163680] 4 75712ba3 [0,0,0,-88556,5448560] 2 75712ba4 [0,0,0,-656396,-204690096] 2
75712bb (1 curve)	2	2+ 7- 13+	2+  0 -3 7-  2 13+ -7 -2
Curve Equation t Generators 75712bb1 [0,0,0,676,-2704] 1 [4:8:1]&[13:91:1]
75712bc (1 curve)	0	2+ 7- 13+	2+  0 -3 7- -6 13+  4  5
Curve Equation t 75712bc1 [0,0,0,676,4394] 1
75712bd (2 curves)	0	2+ 7- 13+	2+ -1 -3 7-  0 13+  6  4
Curve Equation t 75712bd1 [0,-1,0,32223,-1415519] 1 75712bd2 [0,-1,0,-670817,-214436639] 1
75712be (1 curve)	0	2+ 7- 13+	2+ -1  4 7- -1 13+  4  2
Curve Equation t 75712be1 [0,-1,0,-49845761,135707039233] 1
75712bf (1 curve)	0	2+ 7- 13+	2+  2  1 7-  2 13+  1 -4
Curve Equation t 75712bf1 [0,-1,0,1855,64193] 1
75712bg (1 curve)	0	2+ 7- 13+	2+  2  1 7- -4 13+ -2 -1
Curve Equation t 75712bg1 [0,-1,0,-3605,154829] 1
75712bh (1 curve)	0	2+ 7- 13+	2+  2  3 7-  0 13+ -1  2
Curve Equation t 75712bh1 [0,-1,0,8056,458522] 1
75712bi (2 curves)	0	2+ 7- 13+	2+  2  3 7-  6 13+ -3  4
Curve Equation t 75712bi1 [0,-1,0,-43489,3505761] 1 75712bi2 [0,-1,0,10591,11412257] 1
75712bj (1 curve)	0	2+ 7- 13+	2+ -2 -1 7- -2 13+ -3  8
Curve Equation t 75712bj1 [0,1,0,-38081,-3786977] 1
75712bk (1 curve)	2	2+ 7- 13+	2+ -2 -3 7-  0 13+ -1  2
Curve Equation t Generators 75712bk1 [0,1,0,48,-194] 1 [5:14:1]&[33:196:1]
75712bl (1 curve)	0	2+ 7- 13+	2+ -3  3 7- -4 13+  2  4
Curve Equation t 75712bl1 [0,0,0,-33807436,-75672026768] 1
75712bm (1 curve)	2	2+ 7- 13+	2+ -3 -4 7-  1 13+  0 -6
Curve Equation t Generators 75712bm1 [0,0,0,35828,-4394000] 1 [286:-5408:1]&[117:1183:1]
75712bn (1 curve)	1	2+ 7- 13-	2+  0  3 7-  2 13-  2 -3
Curve Equation t Generators 75712bn1 [0,0,0,-26,-338] 1 [13:39:1]
75712bo (1 curve)	1	2+ 7- 13-	2+  0 -3 7-  2 13-  2 -3
Curve Equation t Generators 75712bo1 [0,0,0,-4394,742586] 1 [169:2197:1]
75712bp (2 curves)	1	2+ 7- 13-	2+  1  2 7- -5 13-  2  4
Curve Equation t Generators 75712bp1 [0,1,0,-1057,-14273] 1 [99:928:1] 75712bp2 [0,1,0,3103,845183] 1 [-13:896:1]
75712bq (1 curve)	0	2- 7+ 13+	2-  0 -1 7+  2 13+ -3  6
Curve Equation t 75712bq1 [0,0,0,-9308,-346736] 1
75712br (1 curve)	0	2- 7+ 13+	2-  0 -1 7+ -2 13+  0  7
Curve Equation t 75712br1 [0,0,0,-45968,4147936] 1
75712bs (4 curves)	0	2- 7+ 13+	2-  0  2 7+  4 13+ -6 -8
Curve Equation t 75712bs1 [0,0,0,676,-35152] 2 75712bs2 [0,0,0,-12844,-527280] 4 75712bs3 [0,0,0,-39884,2425488] 2 75712bs4 [0,0,0,-202124,-34976240] 2
75712bt (4 curves)	0	2- 7+ 13+	2-  0  2 7+ -4 13+ -6  0
Curve Equation t 75712bt1 [0,0,0,9370036,-7493668208] 2 75712bt2 [0,0,0,-46007884,-65950600560] 4 75712bt3 [0,0,0,-338472524,2350626226832] 2 75712bt4 [0,0,0,-639589964,-6223771098480] 2
75712bu (1 curve)	2	2- 7+ 13+	2-  0 -3 7+ -2 13+ -7  2
Curve Equation t Generators 75712bu1 [0,0,0,676,2704] 1 [78:-728:1]&[12:112:1]
75712bv (1 curve)	0	2- 7+ 13+	2-  0 -3 7+  6 13+  4 -5
Curve Equation t 75712bv1 [0,0,0,676,-4394] 1
75712bw (1 curve)	0	2- 7+ 13+	2-  1  0 7+  1 13+  4 -6
Curve Equation t 75712bw1 [0,1,0,427007,44690335] 1
75712bx (1 curve)	0	2- 7+ 13+	2-  1  1 7+  4 13+ -6  4
Curve Equation t 75712bx1 [0,1,0,-225,4031] 1
75712by (2 curves)	0	2- 7+ 13+	2-  1 -3 7+  0 13+  6 -4
Curve Equation t 75712by1 [0,1,0,32223,1415519] 1 75712by2 [0,1,0,-670817,214436639] 1
75712bz (1 curve)	0	2- 7+ 13+	2-  1  4 7+  1 13+  4 -2
Curve Equation t 75712bz1 [0,1,0,-49845761,-135707039233] 1
75712ca (1 curve)	0	2- 7+ 13+	2- -1 -1 7+  4 13+ -6  4
Curve Equation t 75712ca1 [0,-1,0,-38081,-9008351] 1
75712cb (1 curve)	0	2- 7+ 13+	2- -1  4 7+  5 13+  0 -2
Curve Equation t 75712cb1 [0,-1,0,-65121,6420673] 1
75712cc (1 curve)	0	2- 7+ 13+	2-  2 -1 7+  2 13+ -3 -8
Curve Equation t 75712cc1 [0,-1,0,-38081,3786977] 1
75712cd (2 curves)	0	2- 7+ 13+	2- -2  0 7+  4 13+ -2  6
Curve Equation t 75712cd1 [0,1,0,1127,10791] 2 75712cd2 [0,1,0,-5633,90559] 2
75712ce (1 curve)	0	2- 7+ 13+	2- -2  1 7+ -2 13+  1  4
Curve Equation t 75712ce1 [0,1,0,1855,-64193] 1
75712cf (1 curve)	0	2- 7+ 13+	2- -2  1 7+  4 13+ -2  1
Curve Equation t 75712cf1 [0,1,0,-3605,-154829] 1
75712cg (2 curves)	0	2- 7+ 13+	2- -2  3 7+ -6 13+ -3 -4
Curve Equation t 75712cg1 [0,1,0,-43489,-3505761] 1 75712cg2 [0,1,0,10591,-11412257] 1
75712ch (1 curve)	0	2- 7+ 13+	2-  3  3 7+  4 13+  2 -4
Curve Equation t 75712ch1 [0,0,0,-33807436,75672026768] 1
75712ci (1 curve)	0	2- 7+ 13+	2-  3 -4 7+ -1 13+  0  6
Curve Equation t 75712ci1 [0,0,0,35828,4394000] 1
75712cj (2 curves)	1	2- 7+ 13-	2- -1  2 7+  5 13-  2 -4
Curve Equation t Generators 75712cj1 [0,-1,0,-1057,14273] 1 [61:416:1] 75712cj2 [0,-1,0,3103,-845183] 1 [2271:1664:27]
75712ck (1 curve)	1	2- 7- 13+	2-  0  1 7- -2 13+ -3 -6
Curve Equation t Generators 75712ck1 [0,0,0,-1573052,-761778992] 1 [2028:66248:1]
75712cl (1 curve)	1	2- 7- 13+	2-  0  3 7-  2 13+ -7 -2
Curve Equation t Generators 75712cl1 [0,0,0,114244,5940688] 1 [412:11088:1]
75712cm (1 curve)	1	2- 7- 13+	2-  0 -3 7-  2 13+ -4  1
Curve Equation t Generators 75712cm1 [0,0,0,-394784,-95683744] 1 [13585:1581671:1]
75712cn (3 curves)	1	2- 7- 13+	2-  1  0 7-  3 13+  0 -2
Curve Equation t Generators 75712cn1 [0,1,0,75487,8554079] 1 [37223:7181824:1] 75712cn2 [0,1,0,-2087713,1167942751] 1 [615:10816:1] 75712cn3 [0,1,0,-169411233,848657634527] 1 [25357065:578656:3375]
75712co (1 curve)	1	2- 7- 13+	2-  1 -1 7- -4 13+ -6 -4
Curve Equation t Generators 75712co1 [0,1,0,-38081,9008351] 1 [203:3112:1]
75712cp (2 curves)	1	2- 7- 13+	2-  1  3 7-  0 13+  6  4
Curve Equation t Generators 75712cp1 [0,1,0,191,703] 1 [111:1184:1] 75712cp2 [0,1,0,-3969,96383] 1 [31:-64:1]
75712cq (1 curve)	1	2- 7- 13+	2-  1  4 7- -5 13+  0  2
Curve Equation t Generators 75712cq1 [0,1,0,-65121,-6420673] 1 [121429:1329320:343]
75712cr (1 curve)	1	2- 7- 13+	2- -1  0 7- -1 13+  4  6
Curve Equation t Generators 75712cr1 [0,-1,0,427007,-44690335] 1 [269:9464:1]
75712cs (1 curve)	1	2- 7- 13+	2- -1  0 7- -3 13+  4 -2
Curve Equation t Generators 75712cs1 [0,-1,0,-5633,401569] 1 [-69:676:1]
75712ct (1 curve)	1	2- 7- 13+	2- -1  1 7- -4 13+ -6 -4
Curve Equation t Generators 75712ct1 [0,-1,0,-225,-4031] 1 [21:8:1]
75712cu (2 curves)	1	2- 7- 13+	2-  2  0 7- -4 13+ -2 -6
Curve Equation t Generators 75712cu1 [0,-1,0,1127,-10791] 2 [20415:561536:27] 75712cu2 [0,-1,0,-5633,-90559] 2 [3025:166296:1]
75712cv (1 curve)	1	2- 7- 13+	2-  2  1 7- -2 13+ -3  8
Curve Equation t Generators 75712cv1 [0,-1,0,-225,1793] 1 [8:21:1]
75712cw (1 curve)	1	2- 7- 13+	2-  2  3 7-  0 13+ -2 -5
Curve Equation t Generators 75712cw1 [0,-1,0,723771,-155928163] 1 [63233909956903991107727207642417548:2192506653782014242197963816389642371:166826182564775491294639892567597]
75712cx (2 curves)	1	2- 7- 13+	2-  2 -4 7-  0 13+ -2  2
Curve Equation t Generators 75712cx1 [0,-1,0,-225,71681] 2 [1191:10304:27] 75712cx2 [0,-1,0,-27265,1721121] 2 [213:2352:1]
75712cy (6 curves)	1	2- 7- 13+	2- -2  0 7-  0 13+  6 -2
Curve Equation t Generators 75712cy1 [0,1,0,-5633,-331265] 2 [498861:9444352:1331] 75712cy2 [0,1,0,-113793,-14803073] 2 [1503:56672:1] 75712cy3 [0,1,0,48447,6904639] 2 [143:4096:1] 75712cy4 [0,1,0,-384193,75002175] 2 [-113:10816:1] 75712cy5 [0,1,0,-1844353,966251391] 2 [70098795:-164888576:91125] 75712cy6 [0,1,0,-29533313,61765669759] 2 [397795:548352:125]
75712cz (1 curve)	1	2- 7- 13+	2- -2 -1 7-  2 13+  1 -4
Curve Equation t Generators 75712cz1 [0,1,0,313439,-142285857] 1 [4466:300587:1]
75712da (1 curve)	1	2- 7- 13+	2- -2 -1 7- -4 13+ -6 -1
Curve Equation t Generators 75712da1 [0,1,0,-901,-903837] 1 [134:1183:1]
75712db (3 curves)	1	2- 7- 13+	2- -2 -3 7-  0 13+ -6  7
Curve Equation t Generators 75712db1 [0,1,0,-4957,-136239] 1 [368:6929:1] 75712db2 [0,1,0,8563,-664871] 1 [160:2197:1] 75712db3 [0,1,0,-79317,21164521] 1 [1512:57967:1]
75712dc (2 curves)	1	2- 7- 13+	2- -2 -3 7-  6 13+ -3  4
Curve Equation t Generators 75712dc1 [0,1,0,-7349697,-7672758209] 1 [703828538538:-11049402637889:217081801] 75712dc2 [0,1,0,1789823,-25079888001] 1 [14210:1694077:1]
75712dd (1 curve)	1	2- 7- 13+	2-  3  0 7-  5 13+ -4 -2
Curve Equation t Generators 75712dd1 [0,0,0,-239980,-988157872] 1 [73788119643773808:3244305975092780156:32974255244763]
75712de (1 curve)	1	2- 7- 13+	2-  3 -3 7- -4 13+  2  4
Curve Equation t Generators 75712de1 [0,0,0,-200044,34443344] 1 [103338:2179072:729]
75712df (2 curves)	0	2- 7- 13-	2- -1 -2 7- -5 13-  2  4
Curve Equation t 75712df1 [0,-1,0,-178689,30643105] 1 75712df2 [0,-1,0,524351,-1854769567] 1

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