Cremona's table of elliptic curves

31950 = 2 · 3² · 5² · 71

Class	r	Atkin-Lehner	Eigenvalues
31950a (2 curves)	1	2+ 3+ 5+ 71+	2+ 3+ 5+  0  0  6  0 -4
Curve Equation t Generators 31950a1 [1,-1,0,-3580917,-2477037259] 2 [1061066116633382:-49917038178444691:309876419663] 31950a2 [1,-1,0,-10492917,9971474741] 2 [-232295:19094199:125]
31950b (1 curve)	1	2+ 3+ 5+ 71+	2+ 3+ 5+ -1 -4  4  1  8
Curve Equation t Generators 31950b1 [1,-1,0,-108867,13859541] 1 [198:93:1]
31950c (1 curve)	1	2+ 3+ 5+ 71+	2+ 3+ 5+ -3  0  0  3 -4
Curve Equation t Generators 31950c1 [1,-1,0,93,1061] 1 [10:49:1]
31950d (2 curves)	1	2+ 3+ 5+ 71+	2+ 3+ 5+  4  3  4 -3 -7
Curve Equation t Generators 31950d1 [1,-1,0,-1977,33901] 1 [-30:271:1] 31950d2 [1,-1,0,-16377,-786259] 1 [-70:151:1]
31950e (1 curve)	0	2+ 3+ 5+ 71-	2+ 3+ 5+  0  5  4 -5  1
Curve Equation t 31950e1 [1,-1,0,-9492,-16084] 1
31950f (1 curve)	0	2+ 3+ 5+ 71-	2+ 3+ 5+  1 -1  6  6 -7
Curve Equation t 31950f1 [1,-1,0,-5442,157716] 1
31950g (1 curve)	0	2+ 3+ 5+ 71-	2+ 3+ 5+  3 -3  2 -6  1
Curve Equation t 31950g1 [1,-1,0,1308,8216] 1
31950h (2 curves)	0	2+ 3+ 5+ 71-	2+ 3+ 5+ -4  4 -2  8 -4
Curve Equation t 31950h1 [1,-1,0,-6792,175616] 2 31950h2 [1,-1,0,-33792,-2227384] 2
31950i (1 curve)	2	2+ 3+ 5- 71+	2+ 3+ 5-  0 -5 -4 -5  1
Curve Equation t Generators 31950i1 [1,-1,0,-42,16] 1 [-1:-7:1]&[-6:8:1]
31950j (1 curve)	1	2+ 3+ 5- 71-	2+ 3+ 5-  1  4 -4  1  8
Curve Equation t Generators 31950j1 [1,-1,0,-39192,-2977984] 1 [268240:7094968:343]
31950k (1 curve)	1	2+ 3+ 5- 71-	2+ 3+ 5-  3  0  0  3 -4
Curve Equation t Generators 31950k1 [1,-1,0,258,-5084] 1 [44:278:1]
31950l (2 curves)	1	2+ 3+ 5- 71-	2+ 3+ 5- -4 -3 -4 -3 -7
Curve Equation t Generators 31950l1 [1,-1,0,-45492,3670416] 3 [144:228:1] 31950l2 [1,-1,0,-444867,-112636459] 1 [1990:81949:1]
31950m (2 curves)	2	2+ 3- 5+ 71+	2+ 3- 5+  0 -6 -4  6 -8
Curve Equation t Generators 31950m1 [1,-1,0,-267,11141] 2 [14:-107:1]&[-11:118:1] 31950m2 [1,-1,0,-9267,344141] 2 [-107:373:1]&[35:231:1]
31950n (1 curve)	0	2+ 3- 5+ 71+	2+ 3- 5+ -1  2  1 -2 -7
Curve Equation t 31950n1 [1,-1,0,-6192,162216] 1
31950o (2 curves)	0	2+ 3- 5+ 71+	2+ 3- 5+  2  4 -4 -4  4
Curve Equation t 31950o1 [1,-1,0,-13167,-628259] 2 31950o2 [1,-1,0,-215667,-38495759] 2
31950p (4 curves)	0	2+ 3- 5+ 71+	2+ 3- 5+ -2  0  4  0 -4
Curve Equation t 31950p1 [1,-1,0,-2696292,5916897616] 2 31950p2 [1,-1,0,-68306292,216853047616] 2 31950p3 [1,-1,0,-345599667,2473003162741] 2 31950p4 [1,-1,0,-5529599667,158267755162741] 2
31950q (2 curves)	0	2+ 3- 5+ 71+	2+ 3- 5+ -2  3 -6 -3  5
Curve Equation t 31950q1 [1,-1,0,-752652,-251137584] 1 31950q2 [1,-1,0,-5934492,5436196416] 1
31950r (1 curve)	0	2+ 3- 5+ 71+	2+ 3- 5+  3  6  5  6  1
Curve Equation t 31950r1 [1,-1,0,-590892,-173959984] 1
31950s (2 curves)	0	2+ 3- 5+ 71+	2+ 3- 5+  4  6  6 -6 -4
Curve Equation t 31950s1 [1,-1,0,-1917,-51759] 2 31950s2 [1,-1,0,-35667,-2583009] 2
31950t (1 curve)	0	2+ 3- 5+ 71+	2+ 3- 5+ -4 -1  4  7 -1
Curve Equation t 31950t1 [1,-1,0,-522,-4644] 1
31950u (1 curve)	0	2+ 3- 5+ 71+	2+ 3- 5+ -4  4 -1  2  4
Curve Equation t 31950u1 [1,-1,0,-286047,59738701] 1
31950v (1 curve)	1	2+ 3- 5+ 71-	2+ 3- 5+  1  2  3 -6  5
Curve Equation t Generators 31950v1 [1,-1,0,-342,1566] 1 [-11:68:1]
31950w (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+  1 -3 -2 -6  5
Curve Equation t Generators 31950w1 [1,-1,0,-5176467,-4533354059] 1 [48989516578555:-3161972598157154:9327307625] 31950w2 [1,-1,0,3298158,-17392640684] 1 [301045:8248813:125]
31950x (1 curve)	1	2+ 3- 5+ 71-	2+ 3- 5+ -1  0 -6  5 -6
Curve Equation t Generators 31950x1 [1,-1,0,-16992,-1361084] 1 [170:716:1]
31950y (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+  2  0  6 -4  0
Curve Equation t Generators 31950y1 [1,-1,0,-89667,10486741] 2 [29:2798:1] 31950y2 [1,-1,0,-1439667,665236741] 2 [675:479:1]
31950z (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+  2  2 -2  4 -4
Curve Equation t Generators 31950z1 [1,-1,0,14958,-1843884] 2 [1422:19539:8] 31950z2 [1,-1,0,-165042,-22903884] 2 [4494:60447:8]
31950ba (1 curve)	1	2+ 3- 5+ 71-	2+ 3- 5+ -2  1 -2  7  5
Curve Equation t Generators 31950ba1 [1,-1,0,-522,756] 1 [-12:78:1]
31950bb (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+ -2  2  0  0 -4
Curve Equation t Generators 31950bb1 [1,-1,0,-64467,-6394059] 2 [454:7373:1] 31950bb2 [1,-1,0,-1036467,-405886059] 2 [1669:49278:1]
31950bc (2 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+ -2  6 -4 -8  4
Curve Equation t Generators 31950bc1 [1,-1,0,-1104192,747009216] 2 [664:17168:1] 31950bc2 [1,-1,0,-20787192,36471654216] 2 [-5235:45111:1]
31950bd (4 curves)	1	2+ 3- 5+ 71-	2+ 3- 5+ -2 -6 -2  0 -4
Curve Equation t Generators 31950bd1 [1,-1,0,-546417,-155648759] 2 [1229:31448:1] 31950bd2 [1,-1,0,-8747667,-9956142509] 2 [5603:339113:1] 31950bd3 [1,-1,0,1002708,-784502384] 2 [800:22604:1] 31950bd4 [1,-1,0,-9122292,-9056627384] 2 [-1611:38968:1]
31950be (1 curve)	1	2+ 3- 5+ 71-	2+ 3- 5+  4 -5  4 -5 -1
Curve Equation t Generators 31950be1 [1,-1,0,-5135742,14089088916] 1 [2696033205791585:-143087091209997093:1213743410963]
31950bf (1 curve)	1	2+ 3- 5- 71+	2+ 3- 5- -1 -4  2 -5  2
Curve Equation t Generators 31950bf1 [1,-1,0,535503258,-3178804907084] 1 [31931806893912249187334060:4499982721347234215181317162:4455209028277942386733]
31950bg (1 curve)	1	2+ 3- 5- 71+	2+ 3- 5-  2 -4 -1  4  8
Curve Equation t Generators 31950bg1 [1,-1,0,-19242,1032916] 1 [83:8:1]
31950bh (1 curve)	1	2+ 3- 5- 71+	2+ 3- 5- -2 -4  5 -4 -4
Curve Equation t Generators 31950bh1 [1,-1,0,108,616] 1 [-1:23:1]
31950bi (2 curves)	1	2+ 3- 5- 71+	2+ 3- 5-  4 -4  2  0 -8
Curve Equation t Generators 31950bi1 [1,-1,0,-52992,3260416] 2 [-87:2728:1] 31950bi2 [1,-1,0,-772992,261740416] 2 [-331:22103:1]
31950bj (1 curve)	1	2+ 3- 5- 71+	2+ 3- 5-  4 -5 -6 -3 -1
Curve Equation t Generators 31950bj1 [1,-1,0,-67617,-3537959] 1 [308:2033:1]
31950bk (1 curve)	2	2+ 3- 5- 71-	2+ 3- 5- -4 -3 -2 -1 -5
Curve Equation t Generators 31950bk1 [1,-1,0,-39717,3056341] 1 [194:1523:1]&[-142:2483:1]
31950bl (1 curve)	0	2- 3+ 5+ 71+	2- 3+ 5+  0 -5  4  5  1
Curve Equation t 31950bl1 [1,-1,1,-1055,947] 1
31950bm (1 curve)	0	2- 3+ 5+ 71+	2- 3+ 5+  1  1  6 -6 -7
Curve Equation t 31950bm1 [1,-1,1,-48980,-4209353] 1
31950bn (1 curve)	0	2- 3+ 5+ 71+	2- 3+ 5+  3  3  2  6  1
Curve Equation t 31950bn1 [1,-1,1,145,-353] 1
31950bo (2 curves)	2	2- 3+ 5+ 71+	2- 3+ 5+ -4 -4 -2 -8 -4
Curve Equation t Generators 31950bo1 [1,-1,1,-755,-6253] 2 [-138:365:8]&[-17:46:1] 31950bo2 [1,-1,1,-3755,83747] 2 [49:-150:1]&[-226:3375:8]
31950bp (2 curves)	1	2- 3+ 5+ 71-	2- 3+ 5+  0  0  6  0 -4
Curve Equation t Generators 31950bp1 [1,-1,1,-397880,91874747] 2 [489:3505:1] 31950bp2 [1,-1,1,-1165880,-368925253] 2 [-591:10945:1]
31950bq (1 curve)	1	2- 3+ 5+ 71-	2- 3+ 5+ -1  4  4 -1  8
Curve Equation t Generators 31950bq1 [1,-1,1,-979805,-373227803] 1 [1153:4796:1]
31950br (1 curve)	1	2- 3+ 5+ 71-	2- 3+ 5+ -3  0  0 -3 -4
Curve Equation t Generators 31950br1 [1,-1,1,10,-43] 1 [3:1:1]
31950bs (2 curves)	1	2- 3+ 5+ 71-	2- 3+ 5+  4 -3  4  3 -7
Curve Equation t Generators 31950bs1 [1,-1,1,-1820,29727] 1 [-37:231:1] 31950bs2 [1,-1,1,-17795,-897533] 1 [-77:146:1]
31950bt (1 curve)	1	2- 3+ 5- 71+	2- 3+ 5-  1 -4 -4 -1  8
Curve Equation t Generators 31950bt1 [1,-1,1,-4355,111747] 1 [59:-270:1]
31950bu (1 curve)	1	2- 3+ 5- 71+	2- 3+ 5-  3  0  0 -3 -4
Curve Equation t Generators 31950bu1 [1,-1,1,2320,134947] 1 [-5:353:1]
31950bv (2 curves)	1	2- 3+ 5- 71+	2- 3+ 5- -4  3 -4  3 -7
Curve Equation t Generators 31950bv1 [1,-1,1,-49430,4188197] 3 [-231:1915:1] 31950bv2 [1,-1,1,-409430,-98691803] 1 [-395:1331:1]
31950bw (1 curve)	0	2- 3+ 5- 71-	2- 3+ 5-  0  5 -4  5  1
Curve Equation t 31950bw1 [1,-1,1,-380,-53] 1
31950bx (4 curves)	1	2- 3- 5+ 71+	2- 3- 5+  0  4 -2  2  4
Curve Equation t Generators 31950bx1 [1,-1,1,-46130,3816497] 4 [135:121:1] 31950bx2 [1,-1,1,-64130,576497] 4 [499:9375:1] 31950bx3 [1,-1,1,255370,4410497] 2 [126427:4116615:343] 31950bx4 [1,-1,1,-671630,-210833503] 2 [985:8593:1]
31950by (1 curve)	1	2- 3- 5+ 71+	2- 3- 5+  1  2  1 -4 -1
Curve Equation t Generators 31950by1 [1,-1,1,-93605,-10717603] 1 [-161:480:1]
31950bz (1 curve)	1	2- 3- 5+ 71+	2- 3- 5+  1 -4 -2  5  2
Curve Equation t Generators 31950bz1 [1,-1,1,21420130,-25434723283] 1 [1248405:135424631:125]
31950ca (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+  2 -2  0  0 -4
Curve Equation t Generators 31950ca1 [1,-1,1,-20480,-2853853] 2 [309:-4655:1] 31950ca2 [1,-1,1,-452480,-116901853] 2 [-395:481:1]
31950cb (1 curve)	1	2- 3- 5+ 71+	2- 3- 5+  2 -4 -5  4 -4
Curve Equation t Generators 31950cb1 [1,-1,1,2695,79697] 1 [-15:196:1]
31950cc (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+ -2  2  4 -4 -4
Curve Equation t Generators 31950cc1 [1,-1,1,4270,352397] 2 [429:8785:1] 31950cc2 [1,-1,1,-56480,4726397] 2 [254:13643:8]
31950cd (1 curve)	1	2- 3- 5+ 71+	2- 3- 5+ -2 -4  1 -4  8
Curve Equation t Generators 31950cd1 [1,-1,1,-770,8417] 1 [15:-17:1]
31950ce (1 curve)	1	2- 3- 5+ 71+	2- 3- 5+  3  0 -1  0 -5
Curve Equation t Generators 31950ce1 [1,-1,1,-2630,-41003] 1 [-31:115:1]
31950cf (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+ -3 -2  1  8 -5
Curve Equation t Generators 31950cf1 [1,-1,1,-248630,-41071003] 1 [-371:235:1] 31950cf2 [1,-1,1,-40804880,100336828997] 1 [-29048184502:160752368195:3944312]
31950cg (2 curves)	1	2- 3- 5+ 71+	2- 3- 5+ -3  3  6 -2  5
Curve Equation t Generators 31950cg1 [1,-1,1,-4505,-166503] 1 [83:120:1] 31950cg2 [1,-1,1,-51755,17504997] 1 [-18988:174855:64]
31950ch (1 curve)	1	2- 3- 5+ 71+	2- 3- 5+ -4 -5  6  3 -1
Curve Equation t Generators 31950ch1 [1,-1,1,-2705,-27763] 1 [-45:58:1]
31950ci (4 curves)	0	2- 3- 5+ 71-	2- 3- 5+  0  0  6 -6 -4
Curve Equation t 31950ci1 [1,-1,1,55120,92207747] 2 31950ci2 [1,-1,1,-2757380,1712207747] 4 31950ci3 [1,-1,1,-6751130,-4374267253] 2 31950ci4 [1,-1,1,-43763630,111444932747] 2
31950cj (2 curves)	0	2- 3- 5+ 71-	2- 3- 5+  1  0  1  0 -1
Curve Equation t 31950cj1 [1,-1,1,-1805,-28803] 1 31950cj2 [1,-1,1,-13055,560697] 1
31950ck (2 curves)	0	2- 3- 5+ 71-	2- 3- 5+ -2 -2  6  0  4
Curve Equation t 31950ck1 [1,-1,1,2245,2247] 2 31950ck2 [1,-1,1,-9005,24747] 2
31950cl (2 curves)	0	2- 3- 5+ 71-	2- 3- 5+ -2  6 -2  0  4
Curve Equation t 31950cl1 [1,-1,1,-201306939755,34776024553122747] 2 31950cl2 [1,-1,1,-3221205819755,2225235517970082747] 2
31950cm (1 curve)	0	2- 3- 5+ 71-	2- 3- 5+  3  6  3  0 -1
Curve Equation t 31950cm1 [1,-1,1,-15755,-753253] 1
31950cn (4 curves)	0	2- 3- 5+ 71-	2- 3- 5+  4  0  2 -2  4
Curve Equation t 31950cn1 [1,-1,1,-117005,-16717003] 2 31950cn2 [1,-1,1,-1917005,-1021117003] 4 31950cn3 [1,-1,1,-1962005,-970627003] 2 31950cn4 [1,-1,1,-30672005,-65374807003] 2
31950co (4 curves)	0	2- 3- 5+ 71-	2- 3- 5+  4  0 -2  6  4
Curve Equation t 31950co1 [1,-1,1,5620,-186753] 2 31950co2 [1,-1,1,-34880,-1806753] 4 31950co3 [1,-1,1,-203630,33968247] 2 31950co4 [1,-1,1,-514130,-141747753] 2
31950cp (1 curve)	0	2- 3- 5+ 71-	2- 3- 5+  4 -3  2  1 -5
Curve Equation t 31950cp1 [1,-1,1,-992930,381049697] 1
31950cq (2 curves)	0	2- 3- 5- 71+	2- 3- 5-  2  3  6  3  5
Curve Equation t 31950cq1 [1,-1,1,-237380,43537047] 1 31950cq2 [1,-1,1,-18816305,-31411014303] 1
31950cr (1 curve)	0	2- 3- 5- 71+	2- 3- 5-  4 -1 -4 -7 -1
Curve Equation t 31950cr1 [1,-1,1,-13055,-593553] 1
31950cs (1 curve)	0	2- 3- 5- 71+	2- 3- 5-  4  4  1 -2  4
Curve Equation t 31950cs1 [1,-1,1,-7151180,7460186447] 1
31950ct (2 curves)	2	2- 3- 5- 71+	2- 3- 5- -4 -4 -2  0 -8
Curve Equation t Generators 31950ct1 [1,-1,1,-2120,26507] 2 [45:121:1]&[-27:265:1] 31950ct2 [1,-1,1,-30920,2100107] 2 [9:1345:1]&[-1450:11229:8]
31950cu (1 curve)	1	2- 3- 5- 71-	2- 3- 5-  1  0  6 -5 -6
Curve Equation t Generators 31950cu1 [1,-1,1,-680,-10753] 1 [213:2971:1]
31950cv (1 curve)	1	2- 3- 5- 71-	2- 3- 5-  2  1  2 -7  5
Curve Equation t Generators 31950cv1 [1,-1,1,-13055,81447] 1 [-31:-660:1]
31950cw (1 curve)	1	2- 3- 5- 71-	2- 3- 5- -4 -5 -4  5 -1
Curve Equation t Generators 31950cw1 [1,-1,1,-205430,112753797] 1 [489:11115:1]

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