Cremona's table of elliptic curves

75950 = 2 · 5² · 7² · 31

Class	r	Atkin-Lehner	Eigenvalues
75950a (1 curve)	1	2+ 5+ 7+ 31+	2+  0 5+ 7+ -5 -1  4 -3
Curve Equation t Generators 75950a1 [1,-1,0,-247067,-49280659] 1 [4349:282638:1]
75950b (1 curve)	1	2+ 5+ 7+ 31+	2+  1 5+ 7+ -3  3  0  0
Curve Equation t Generators 75950b1 [1,0,1,75924,90608298] 1 [-186114773306190:25496473556746137:2752829453375]
75950c (1 curve)	1	2+ 5+ 7+ 31+	2+ -1 5+ 7+  4  1 -4  4
Curve Equation t Generators 75950c1 [1,1,0,-18400,959750] 1 [85:95:1]
75950d (1 curve)	1	2+ 5+ 7+ 31+	2+ -1 5+ 7+  4 -4  6  4
Curve Equation t Generators 75950d1 [1,1,0,-67803775,-214930514875] 1 [10121553594086:16408767950061:1064332261]
75950e (1 curve)	1	2+ 5+ 7+ 31+	2+ -3 5+ 7+  4 -1  4  0
Curve Equation t Generators 75950e1 [1,-1,0,383,3541] 1 [9:-92:1]
75950f (1 curve)	0	2+ 5+ 7+ 31-	2+  1 5+ 7+  3 -2  2 -8
Curve Equation t 75950f1 [1,0,1,464,8278] 1
75950g (1 curve)	0	2+ 5+ 7+ 31-	2+  3 5+ 7+ -4 -4  6 -4
Curve Equation t 75950g1 [1,-1,0,-32692,4613216] 1
75950h (2 curves)	2	2+ 5+ 7- 31+	2+  0 5+ 7-  2 -2  0 -8
Curve Equation t Generators 75950h1 [1,-1,0,-199292,34753116] 2 [-466:5358:1]&[114:3618:1] 75950h2 [1,-1,0,-3200542,2204656866] 2 [-3890:484987:8]&[839:10043:1]
75950i (2 curves)	0	2+ 5+ 7- 31+	2+  0 5+ 7- -2  6 -4  0
Curve Equation t 75950i1 [1,-1,0,-2441042,-3153235884] 2 75950i2 [1,-1,0,-50461042,-137849335884] 2
75950j (3 curves)	0	2+ 5+ 7- 31+	2+  1 5+ 7-  0 -4 -6 -2
Curve Equation t 75950j1 [1,0,1,-4926,-700752] 1 75950j2 [1,0,1,44074,18311248] 1 75950j3 [1,0,1,-4133176,3235553248] 1
75950k (1 curve)	0	2+ 5+ 7- 31+	2+  1 5+ 7-  1 -5  0 -1
Curve Equation t 75950k1 [1,0,1,-318526,16194448] 1
75950l (1 curve)	0	2+ 5+ 7- 31+	2+ -1 5+ 7-  3  2 -2  8
Curve Equation t 75950l1 [1,1,0,10,-20] 1
75950m (1 curve)	0	2+ 5+ 7- 31+	2+ -1 5+ 7-  3 -4 -5 -1
Curve Equation t 75950m1 [1,1,0,-659075,-302772875] 1
75950n (2 curves)	0	2+ 5+ 7- 31+	2+ -1 5+ 7- -3 -1 -2  5
Curve Equation t 75950n1 [1,1,0,-12243900,6695842000] 1 75950n2 [1,1,0,-6308008900,192832681397000] 1
75950o (4 curves)	0	2+ 5+ 7- 31+	2+ -2 5+ 7-  0 -4  0  4
Curve Equation t 75950o1 [1,0,1,-129876,-18397102] 2 75950o2 [1,0,1,-2089876,-1163037102] 2 75950o3 [1,0,1,556124,-78765102] 2 75950o4 [1,0,1,-2506376,-666765102] 2
75950p (1 curve)	0	2+ 5+ 7- 31+	2+ -2 5+ 7-  4 -5  3  5
Curve Equation t 75950p1 [1,0,1,-9196,-340182] 1
75950q (1 curve)	0	2+ 5+ 7- 31+	2+ -2 5+ 7- -4  7  7 -3
Curve Equation t 75950q1 [1,0,1,-2496576,1553503298] 1
75950r (4 curves)	0	2+ 5+ 7- 31+	2+ -2 5+ 7-  6  2 -6  4
Curve Equation t 75950r1 [1,0,1,-154376,797869398] 2 75950r2 [1,0,1,-13874376,19676589398] 2 75950r3 [1,0,1,-70028376,225561261398] 2 75950r4 [1,0,1,-1120465876,14435879761398] 2
75950s (1 curve)	2	2+ 5+ 7- 31+	2+ -3 5+ 7- -4  4 -6  4
Curve Equation t Generators 75950s1 [1,-1,0,-667,-13259] 1 [34:33:1]&[59:-417:1]
75950t (4 curves)	1	2+ 5+ 7- 31-	2+  0 5+ 7-  0  2 -6 -4
Curve Equation t Generators 75950t1 [1,-1,0,-842,-46684] 2 [79:-652:1] 75950t2 [1,-1,0,-25342,-1541184] 4 [-95:94:1] 75950t3 [1,-1,0,-37592,112566] 2 [-187:853:1] 75950t4 [1,-1,0,-405092,-99136934] 2 [2389:110893:1]
75950u (2 curves)	1	2+ 5+ 7- 31-	2+  0 5+ 7-  4  4  2  0
Curve Equation t Generators 75950u1 [1,-1,0,547706458,-331034775884] 2 [2488299:1111898038:1331] 75950u2 [1,-1,0,-2196293542,-2649714775884] 2 [579695083:-380631679562:1331]
75950v (1 curve)	1	2+ 5+ 7- 31-	2+  0 5+ 7- -5  1 -4  3
Curve Equation t Generators 75950v1 [1,-1,0,-5042,145116] 1 [-1:388:1]
75950w (1 curve)	1	2+ 5+ 7- 31-	2+  1 5+ 7-  4 -1  4 -4
Curve Equation t Generators 75950w1 [1,0,1,-376,-2852] 1 [902:26636:1]
75950x (1 curve)	1	2+ 5+ 7- 31-	2+  1 5+ 7-  4  4 -6 -4
Curve Equation t Generators 75950x1 [1,0,1,-1383751,626421898] 1 [167:19916:1]
75950y (1 curve)	1	2+ 5+ 7- 31-	2+  1 5+ 7- -5 -5  0 -1
Curve Equation t Generators 75950y1 [1,0,1,-7376,149398] 1 [-38:631:1]
75950z (1 curve)	1	2+ 5+ 7- 31-	2+ -1 5+ 7-  1  5  0  1
Curve Equation t Generators 75950z1 [1,1,0,-6500,-50000] 1 [-25:325:1]
75950ba (1 curve)	1	2+ 5+ 7- 31-	2+ -1 5+ 7- -1  0 -1  7
Curve Equation t Generators 75950ba1 [1,1,0,-1495,-62635] 1 [461:9643:1]
75950bb (1 curve)	1	2+ 5+ 7- 31-	2+ -1 5+ 7- -3 -3  0  0
Curve Equation t Generators 75950bb1 [1,1,0,1550,-263500] 1 [5876:49185:64]
75950bc (2 curves)	1	2+ 5+ 7- 31-	2+  2 5+ 7-  2  0  2  4
Curve Equation t Generators 75950bc1 [1,1,0,-80875,9112125] 2 [174:501:1] 75950bc2 [1,1,0,-1305875,573837125] 2 [-1085:27280:1]
75950bd (1 curve)	1	2+ 5+ 7- 31-	2+  2 5+ 7-  4  5 -3 -5
Curve Equation t Generators 75950bd1 [1,1,0,-450580,116231760] 1 [520344:-62604:1331]
75950be (1 curve)	1	2+ 5+ 7- 31-	2+  2 5+ 7- -4 -7 -7  3
Curve Equation t Generators 75950be1 [1,1,0,-50950,-4551000] 1 [426:6948:1]
75950bf (2 curves)	1	2+ 5+ 7- 31-	2+  2 5+ 7-  6  0 -6  0
Curve Equation t Generators 75950bf1 [1,1,0,18350,3912000] 2 [384:8040:1] 75950bf2 [1,1,0,-287900,55055750] 2 [-12620:659635:64]
75950bg (2 curves)	1	2+ 5+ 7- 31-	2+  2 5+ 7- -6  4  2  4
Curve Equation t Generators 75950bg1 [1,1,0,-39225,-3211375] 2 [1364:49151:1] 75950bg2 [1,1,0,-639475,-197092125] 2 [1071531:-33472610:729]
75950bh (2 curves)	1	2+ 5+ 7- 31-	2+ -2 5+ 7- -2  4 -6 -4
Curve Equation t Generators 75950bh1 [1,0,1,-3327126,-7573131352] 2 [531892:387645616:1] 75950bh2 [1,0,1,-81727126,-283854731352] 2 [707987676:515927406352:1331]
75950bi (2 curves)	1	2+ 5+ 7- 31-	2+ -2 5+ 7- -2 -4 -2  8
Curve Equation t Generators 75950bi1 [1,0,1,25699,-2023752] 2 [242:-4409:1] 75950bi2 [1,0,1,-170301,-20447752] 2 [-328:551:1]
75950bj (1 curve)	1	2+ 5+ 7- 31-	2+  3 5+ 7-  4  1 -4  0
Curve Equation t Generators 75950bj1 [1,-1,0,18758,-1252084] 1 [294083929947:3307121578064:3354790473]
75950bk (1 curve)	1	2+ 5+ 7- 31-	2+ -3 5+ 7-  1 -5 -4 -3
Curve Equation t Generators 75950bk1 [1,-1,0,-345067,-77553659] 1 [-341:783:1]
75950bl (1 curve)	1	2+ 5+ 7- 31-	2+ -3 5+ 7-  4  4  2 -6
Curve Equation t Generators 75950bl1 [1,-1,0,-2895517,1897156141] 1 [975:-71:1]
75950bm (2 curves)	1	2+ 5- 7+ 31-	2+  1 5- 7+  3 -1  6  2
Curve Equation t Generators 75950bm1 [1,0,1,-52701,4686798] 3 [-193446:140993:729] 75950bm2 [1,0,1,161674,24838048] 1 [-3714:2603:27]
75950bn (1 curve)	1	2+ 5- 7- 31+	2+  1 5- 7- -3  3  2  1
Curve Equation t Generators 75950bn1 [1,0,1,-205826,18590548] 1 [566:16463:8]
75950bo (2 curves)	1	2+ 5- 7- 31+	2+ -1 5- 7-  3  1 -6 -2
Curve Equation t Generators 75950bo1 [1,1,0,-1075,-14125] 1 [12145:106457:125] 75950bo2 [1,1,0,3300,-71000] 1 [85:870:1]
75950bp (1 curve)	1	2+ 5- 7- 31+	2+ -1 5- 7-  5 -1  4 -1
Curve Equation t Generators 75950bp1 [1,1,0,-18703325,-31141167875] 1 [125921218695:11031648812090:12649337]
75950bq (1 curve)	1	2+ 5- 7- 31+	2+  3 5- 7- -5 -1  0  5
Curve Equation t Generators 75950bq1 [1,-1,0,-1822,13586] 1 [-177:4376:27]
75950br (1 curve)	0	2+ 5- 7- 31-	2+  0 5- 7-  5  7 -6  6
Curve Equation t 75950br1 [1,-1,0,-6967,248541] 1
75950bs (1 curve)	0	2+ 5- 7- 31-	2+  1 5- 7-  5  1 -4  1
Curve Equation t 75950bs1 [1,0,1,-381701,90736048] 1
75950bt (1 curve)	0	2+ 5- 7- 31-	2+  2 5- 7-  4 -1 -3 -1
Curve Equation t 75950bt1 [1,1,0,9775,-109675] 1
75950bu (1 curve)	0	2+ 5- 7- 31-	2+  3 5- 7-  3  1 -2 -7
Curve Equation t 75950bu1 [1,-1,0,-1359367,607456541] 1
75950bv (1 curve)	2	2+ 5- 7- 31-	2+ -3 5- 7- -5  1  0 -5
Curve Equation t Generators 75950bv1 [1,-1,0,-37,-29] 1 [9:13:1]&[-26:69:8]
75950bw (1 curve)	0	2- 5+ 7+ 31+	2- -1 5+ 7+  4 -1  0 -8
Curve Equation t 75950bw1 [1,1,1,-59678963,177641935281] 1
75950bx (1 curve)	0	2- 5+ 7+ 31+	2- -2 5+ 7+ -5 -7  2 -5
Curve Equation t 75950bx1 [1,0,0,234562,-3680258] 1
75950by (1 curve)	0	2- 5+ 7+ 31+	2-  3 5+ 7+ -2 -4  4  6
Curve Equation t 75950by1 [1,-1,1,-4084380,4486473247] 1
75950bz (1 curve)	0	2- 5+ 7+ 31+	2-  3 5+ 7+  4 -1 -8  0
Curve Equation t 75950bz1 [1,-1,1,-729105,-381439103] 1
75950ca (2 curves)	1	2- 5+ 7+ 31-	2- -1 5+ 7+  3  1 -6  2
Curve Equation t Generators 75950ca1 [1,1,1,-2108,36651] 1 [1396:1873:64] 75950ca2 [1,1,1,6467,201291] 1 [21:578:1]
75950cb (1 curve)	1	2- 5+ 7+ 31-	2- -2 5+ 7+  3  1  2 -5
Curve Equation t Generators 75950cb1 [1,0,0,2565874562,269659834503492] 1 [26732:18890434:1]
75950cc (2 curves)	1	2- 5+ 7- 31+	2-  0 5+ 7-  0  4  4  8
Curve Equation t Generators 75950cc1 [1,-1,1,125945,7912447] 2 [139:5230:1] 75950cc2 [1,-1,1,-560055,66908447] 2 [825:12466:1]
75950cd (2 curves)	1	2- 5+ 7- 31+	2-  1 5+ 7-  3 -1  0  1
Curve Equation t Generators 75950cd1 [1,0,0,-1767088,-903886208] 1 [-6114:7957:8] 75950cd2 [1,0,0,-5411463,3764129417] 1 [-458:78629:1]
75950ce (2 curves)	1	2- 5+ 7- 31+	2-  1 5+ 7-  3 -1  6 -2
Curve Equation t Generators 75950ce1 [1,0,0,-43,-113] 1 [60952404:165757291:4410944] 75950ce2 [1,0,0,132,-568] 1 [118:1230:1]
75950cf (3 curves)	1	2- 5+ 7- 31+	2-  1 5+ 7-  3  5 -6  7
Curve Equation t Generators 75950cf1 [1,0,0,-720938,-235670758] 1 [-584008378:296870889:1191016] 75950cf2 [1,0,0,-800563,-180429383] 1 [-288:5269:1] 75950cf3 [1,0,0,-26053938,51175631492] 1 [1492:124254:1]
75950cg (2 curves)	1	2- 5+ 7- 31+	2-  2 5+ 7-  0  2  4 -4
Curve Equation t Generators 75950cg1 [1,1,1,-3088,3215281] 2 [1105:36197:1] 75950cg2 [1,1,1,-346088,77303281] 2 [239:2763:1]
75950ch (1 curve)	1	2- 5+ 7- 31+	2-  2 5+ 7-  3 -1 -2  5
Curve Equation t Generators 75950ch1 [1,1,1,52364787,-786157833469] 1 [316126332285:24392466859724:33698267]
75950ci (4 curves)	1	2- 5+ 7- 31+	2- -2 5+ 7-  0  2  0  4
Curve Equation t Generators 75950ci1 [1,0,0,7879787,-13259303583] 2 [25022:3968739:1] 75950ci2 [1,0,0,-59348213,-141463099583] 2 [-4034:181755:1] 75950ci3 [1,0,0,-74654588,477887755792] 2 [-1928:784964:1] 75950ci4 [1,0,0,-1479582588,21893205259792] 2 [14328:1899460:1]
75950cj (1 curve)	1	2- 5+ 7- 31+	2-  3 5+ 7- -3  1  4 -1
Curve Equation t Generators 75950cj1 [1,-1,1,-56563380,-163143947753] 1 [-3162339:19142405:729]
75950ck (1 curve)	1	2- 5+ 7- 31+	2- -3 5+ 7-  6 -2 -2  2
Curve Equation t Generators 75950ck1 [1,-1,1,-405,-3153] 1 [3572:22619:64]
75950cl (2 curves)	2	2- 5+ 7- 31-	2-  0 5+ 7-  0 -4 -4 -8
Curve Equation t Generators 75950cl1 [1,-1,1,2570,-23803] 2 [23:205:1]&[59:545:1] 75950cl2 [1,-1,1,-11430,-191803] 2 [-87:415:1]&[-61:555:1]
75950cm (2 curves)	0	2- 5+ 7- 31-	2-  0 5+ 7- -2 -2  2  6
Curve Equation t 75950cm1 [1,-1,1,-8805,207197] 2 75950cm2 [1,-1,1,-57805,-5182803] 2
75950cn (1 curve)	0	2- 5+ 7- 31-	2-  0 5+ 7-  5 -7  6  6
Curve Equation t 75950cn1 [1,-1,1,-174180,30893447] 1
75950co (1 curve)	0	2- 5+ 7- 31-	2-  1 5+ 7-  4  1  0  8
Curve Equation t 75950co1 [1,0,0,-1217938,-518080508] 1
75950cp (1 curve)	0	2- 5+ 7- 31-	2- -1 5+ 7-  1  1 -8 -7
Curve Equation t 75950cp1 [1,1,1,-107213,-12709719] 1
75950cq (1 curve)	0	2- 5+ 7- 31-	2-  2 5+ 7- -5  7 -2  5
Curve Equation t 75950cq1 [1,1,1,4787,12781] 1
75950cr (2 curves)	0	2- 5+ 7- 31-	2- -2 5+ 7-  0  6 -4  8
Curve Equation t 75950cr1 [1,0,0,14062,-483008] 2 75950cr2 [1,0,0,-71688,-4341758] 2
75950cs (1 curve)	0	2- 5+ 7- 31-	2- -2 5+ 7-  4  1  3 -1
Curve Equation t 75950cs1 [1,0,0,244362,-14198108] 1
75950ct (1 curve)	0	2- 5+ 7- 31-	2-  3 5+ 7- -1 -1  6 -3
Curve Equation t 75950ct1 [1,-1,1,-152130,-22641503] 1
75950cu (1 curve)	0	2- 5+ 7- 31-	2-  3 5+ 7- -5  1 -4  3
Curve Equation t 75950cu1 [1,-1,1,-21799340730,1149040857115897] 1
75950cv (1 curve)	0	2- 5+ 7- 31-	2-  3 5+ 7-  6  2  2 -2
Curve Equation t 75950cv1 [1,-1,1,-19830,1121047] 1
75950cw (1 curve)	0	2- 5+ 7- 31-	2- -3 5+ 7- -2  4 -4 -6
Curve Equation t 75950cw1 [1,-1,1,-200134605,-1538460054603] 1
75950cx (1 curve)	2	2- 5+ 7- 31-	2- -3 5+ 7- -3 -1 -4  1
Curve Equation t Generators 75950cx1 [1,-1,1,-1154355,475968147] 1 [779:6610:1]&[-1125:19266:1]
75950cy (1 curve)	0	2- 5+ 7- 31-	2- -3 5+ 7-  4  1  8  0
Curve Equation t 75950cy1 [1,-1,1,-35726130,130905064497] 1
75950cz (1 curve)	1	2- 5- 7+ 31+	2- -1 5- 7+ -3 -3  0  0
Curve Equation t Generators 75950cz1 [1,1,1,3037,726081] 1 [-29:798:1]
75950da (1 curve)	0	2- 5- 7+ 31-	2- -1 5- 7+  3  2 -2 -8
Curve Equation t 75950da1 [1,1,1,11612,1034781] 1
75950db (1 curve)	0	2- 5- 7- 31+	2-  1 5- 7-  3 -2  2  8
Curve Equation t 75950db1 [1,0,0,237,-2983] 1
75950dc (1 curve)	0	2- 5- 7- 31+	2-  1 5- 7-  3  4  5 -1
Curve Equation t 75950dc1 [1,0,0,-26363,-2422183] 1
75950dd (1 curve)	0	2- 5- 7- 31+	2-  1 5- 7-  5  1 -4 -1
Curve Equation t 75950dd1 [1,0,0,-748133,-249129343] 1
75950de (1 curve)	2	2- 5- 7- 31+	2- -1 5- 7- -3 -3 -2  1
Curve Equation t Generators 75950de1 [1,1,1,-8233,145431] 1 [-1:-392:1]&[-85:532:1]
75950df (1 curve)	0	2- 5- 7- 31+	2-  2 5- 7-  4  5 -3  5
Curve Equation t 75950df1 [1,1,1,-229888,-42522719] 1
75950dg (1 curve)	0	2- 5- 7- 31+	2-  2 5- 7- -4 -7 -7 -3
Curve Equation t 75950dg1 [1,1,1,-99863,12388081] 1
75950dh (1 curve)	0	2- 5- 7- 31+	2- -3 5- 7- -5  1  0  5
Curve Equation t 75950dh1 [1,-1,1,-45555,1652697] 1
75950di (1 curve)	1	2- 5- 7- 31-	2-  1 5- 7- -1  0  1  7
Curve Equation t Generators 75950di1 [1,0,0,-37388,-7754608] 1 [788:20872:1]
75950dj (1 curve)	1	2- 5- 7- 31-	2-  1 5- 7- -3  3  0  0
Curve Equation t Generators 75950dj1 [1,0,0,62,-2108] 1 [12:14:1]
75950dk (1 curve)	1	2- 5- 7- 31-	2- -1 5- 7-  5 -1  4  1
Curve Equation t Generators 75950dk1 [1,1,1,-15268,719781] 1 [69:-63:1]
75950dl (1 curve)	1	2- 5- 7- 31-	2- -2 5- 7-  4 -5  3 -5
Curve Equation t Generators 75950dl1 [1,0,0,-11264513,14551499017] 1 [1866:-6421:1]
75950dm (1 curve)	1	2- 5- 7- 31-	2- -2 5- 7- -4  7  7  3
Curve Equation t Generators 75950dm1 [1,0,0,-2038,-36408] 1 [172:2084:1]
75950dn (1 curve)	1	2- 5- 7- 31-	2-  3 5- 7- -5 -1  0 -5
Curve Equation t Generators 75950dn1 [1,-1,1,-930,-4553] 1 [-5646:10715:216]
75950do (1 curve)	1	2- 5- 7- 31-	2- -3 5- 7-  3 -1  2 -7
Curve Equation t Generators 75950do1 [1,-1,1,-54375,4870527] 1 [639:-15510:1]

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