Cremona's table of elliptic curves

6510 = 2 · 3 · 5 · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
6510a (1 curve)	1	2+ 3+ 5+ 7+ 31+	2+ 3+ 5+ 7+  2  1  3 -3
Curve Equation t Generators 6510a1 [1,1,0,-878,-10902] 1 [181:2318:1]
6510b (4 curves)	2	2+ 3+ 5+ 7+ 31-	2+ 3+ 5+ 7+ -4 -6  2 -8
Curve Equation t Generators 6510b1 [1,1,0,47,-107] 2 [3:7:1]&[11:38:1] 6510b2 [1,1,0,-273,-1323] 4 [-13:22:1]&[-9:27:1] 6510b3 [1,1,0,-3993,-98787] 2 [-37:22:1]&[73:37:1] 6510b4 [1,1,0,-1673,24717] 2 [-43:161:1]&[33:66:1]
6510c (2 curves)	1	2+ 3+ 5- 7+ 31-	2+ 3+ 5- 7+  2  4 -4 -4
Curve Equation t Generators 6510c1 [1,1,0,-227,1341] 2 [2:29:1] 6510c2 [1,1,0,-3727,86041] 2 [27:64:1]
6510d (1 curve)	1	2+ 3+ 5- 7+ 31-	2+ 3+ 5- 7+ -4  1 -1  5
Curve Equation t Generators 6510d1 [1,1,0,60123,-8189811] 1 [8725165:366681854:4913]
6510e (2 curves)	1	2+ 3+ 5- 7- 31+	2+ 3+ 5- 7- -2  4  4  4
Curve Equation t Generators 6510e1 [1,1,0,238,-4764] 2 [17:59:1] 6510e2 [1,1,0,-3262,-67064] 2 [-33:94:1]
6510f (1 curve)	1	2+ 3- 5+ 7+ 31-	2+ 3- 5+ 7+  0 -5  3  3
Curve Equation t Generators 6510f1 [1,0,1,-494,-10624] 1 [896:26367:1]
6510g (1 curve)	1	2+ 3- 5+ 7- 31+	2+ 3- 5+ 7- -2 -5  3  1
Curve Equation t Generators 6510g1 [1,0,1,-239,-8134] 1 [66:481:1]
6510h (2 curves)	1	2+ 3- 5+ 7- 31+	2+ 3- 5+ 7-  4 -2 -6 -2
Curve Equation t Generators 6510h1 [1,0,1,-2754,55252] 2 [26:24:1] 6510h2 [1,0,1,-1674,99316] 2 [-4:327:1]
6510i (1 curve)	1	2+ 3- 5- 7+ 31+	2+ 3- 5- 7+  2 -1 -1 -5
Curve Equation t Generators 6510i1 [1,0,1,27,-122] 1 [4:5:1]
6510j (2 curves)	1	2+ 3- 5- 7- 31-	2+ 3- 5- 7-  0 -1  3 -7
Curve Equation t Generators 6510j1 [1,0,1,-388,2906] 3 [-20:62:1] 6510j2 [1,0,1,437,13046] 1 [42:304:1]
6510k (4 curves)	1	2+ 3- 5- 7- 31-	2+ 3- 5- 7-  0 -4 -6 -4
Curve Equation t Generators 6510k1 [1,0,1,-113,12656] 6 [-18:103:1] 6510k2 [1,0,1,-8863,317156] 6 [42:118:1] 6510k3 [1,0,1,1012,-341494] 2 [72:289:1] 6510k4 [1,0,1,-67588,-6597814] 2 [-138:394:1]
6510l (2 curves)	0	2- 3+ 5+ 7+ 31+	2- 3+ 5+ 7+  0  4 -6  0
Curve Equation t 6510l1 [1,1,1,3094,35219] 2 6510l2 [1,1,1,-14056,282179] 2
6510m (2 curves)	1	2- 3+ 5+ 7+ 31-	2- 3+ 5+ 7+  2  2  4 -8
Curve Equation t Generators 6510m1 [1,1,1,-13032326,-216066148477] 2 [3146739:5580440137:1] 6510m2 [1,1,1,-625532326,-5979936148477] 2 [18047838659521:32005318082401443:5735339]
6510n (1 curve)	1	2- 3+ 5+ 7+ 31-	2- 3+ 5+ 7+  2 -3 -1  7
Curve Equation t Generators 6510n1 [1,1,1,-161,863] 1 [-1:32:1]
6510o (4 curves)	1	2- 3+ 5+ 7+ 31-	2- 3+ 5+ 7+ -4  2 -2  4
Curve Equation t Generators 6510o1 [1,1,1,-881,5519] 2 [-1:80:1] 6510o2 [1,1,1,-12401,526223] 4 [21:514:1] 6510o3 [1,1,1,-198401,33931823] 2 [257:-122:1] 6510o4 [1,1,1,-10721,676079] 2 [29:610:1]
6510p (4 curves)	1	2- 3+ 5- 7+ 31+	2- 3+ 5- 7+  0 -2  6 -4
Curve Equation t Generators 6510p1 [1,1,1,-5970,464607] 4 [-83:671:1] 6510p2 [1,1,1,-133970,18794207] 4 [-175:6163:1] 6510p3 [1,1,1,-173170,6846047] 2 [-195:5863:1] 6510p4 [1,1,1,-2142770,1206396767] 2 [845:-409:1]
6510q (2 curves)	0	2- 3+ 5- 7- 31+	2- 3+ 5- 7-  4 -2  2  2
Curve Equation t 6510q1 [1,1,1,-85285,5690987] 2 6510q2 [1,1,1,264635,40822955] 2
6510r (6 curves)	0	2- 3+ 5- 7- 31+	2- 3+ 5- 7- -4 -2 -6  4
Curve Equation t 6510r1 [1,1,1,19890,2056587] 8 6510r2 [1,1,1,-172190,23108555] 8 6510r3 [1,1,1,-784690,-245901445] 4 6510r4 [1,1,1,-2632970,1643286107] 4 6510r5 [1,1,1,-12266440,-16540801045] 2 6510r6 [1,1,1,897060,-1155391845] 2
6510s (1 curve)	1	2- 3+ 5- 7- 31-	2- 3+ 5- 7- -6 -7  7  1
Curve Equation t Generators 6510s1 [1,1,1,-824600,288736985] 1 [-517:24283:1]
6510t (4 curves)	1	2- 3- 5+ 7+ 31+	2- 3- 5+ 7+  0 -2 -6  4
Curve Equation t Generators 6510t1 [1,0,0,-161,585] 4 [-14:19:1] 6510t2 [1,0,0,-881,-9639] 4 [-20:19:1] 6510t3 [1,0,0,-13901,-631995] 2 [1338:48081:1] 6510t4 [1,0,0,619,-38739] 2 [30:69:1]
6510u (2 curves)	1	2- 3- 5+ 7+ 31+	2- 3- 5+ 7+ -4  0  6 -8
Curve Equation t Generators 6510u1 [1,0,0,-321,3465] 2 [18:-69:1] 6510u2 [1,0,0,-5921,174825] 2 [-26:571:1]
6510v (2 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7- -2 -6 -8  0
Curve Equation t Generators 6510v1 [1,0,0,-6216,705600] 2 [336:-6216:1] 6510v2 [1,0,0,-163016,25260480] 2 [154:1876:1]
6510w (2 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7-  4 -6 -2 -6
Curve Equation t Generators 6510w1 [1,0,0,-111,-459] 2 [26:107:1] 6510w2 [1,0,0,-81,-705] 2 [1652:6899:64]
6510x (2 curves)	1	2- 3- 5+ 7- 31-	2- 3- 5+ 7- -6 -1  3 -1
Curve Equation t Generators 6510x1 [1,0,0,-8462601,10074373785] 3 [210:91035:1] 6510x2 [1,0,0,48855159,6292580121] 1 [36354:7040763:1]
6510y (4 curves)	0	2- 3- 5- 7+ 31+	2- 3- 5- 7+  0  6 -2 -4
Curve Equation t 6510y1 [1,0,0,-18270,-1421388] 4 6510y2 [1,0,0,-330770,-73233888] 4 6510y3 [1,0,0,-5292020,-4686204138] 2 6510y4 [1,0,0,-369520,-55013638] 2
6510z (6 curves)	0	2- 3- 5- 7+ 31+	2- 3- 5- 7+  4 -2 -6  4
Curve Equation t 6510z1 [1,0,0,-770,168900] 8 6510z2 [1,0,0,-50770,4358900] 8 6510z3 [1,0,0,-91270,-3587200] 4 6510z4 [1,0,0,-810270,280665000] 4 6510z5 [1,0,0,-1171720,-487844890] 2 6510z6 [1,0,0,341180,-27717910] 2
6510ba (4 curves)	1	2- 3- 5- 7+ 31-	2- 3- 5- 7+  0 -6 -2 -4
Curve Equation t Generators 6510ba1 [1,0,0,-47275,-1879375] 2 [-130:1505:1] 6510ba2 [1,0,0,-374955,87052977] 4 [-426:13233:1] 6510ba3 [1,0,0,-5974955,5620972977] 4 [3574:-174767:1] 6510ba4 [1,0,0,-17835,246114225] 2 [-330:14865:1]
6510bb (1 curve)	1	2- 3- 5- 7+ 31-	2- 3- 5- 7+ -6  3 -5 -7
Curve Equation t Generators 6510bb1 [1,0,0,50,-28] 1 [2:8:1]
6510bc (1 curve)	1	2- 3- 5- 7- 31+	2- 3- 5- 7- -4 -5 -5 -5
Curve Equation t Generators 6510bc1 [1,0,0,-13465,839225] 1 [80:-565:1]
6510bd (4 curves)	0	2- 3- 5- 7- 31-	2- 3- 5- 7-  0  2  6  2
Curve Equation t 6510bd1 [1,0,0,-66030,-6420348] 6 6510bd2 [1,0,0,3090,-19179900] 6 6510bd3 [1,0,0,-5322030,-4726121148] 2 6510bd4 [1,0,0,-5321910,-4726344900] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations