Cremona's table of elliptic curves

31152 = 2⁴ · 3 · 11 · 59

Class	r	Atkin-Lehner	Eigenvalues
31152a (2 curves)	1	2+ 3+ 11+ 59+	2+ 3+ -2  4 11+  4  0 -8
Curve Equation t Generators 31152a1 [0,-1,0,-44,0] 2 [16:56:1] 31152a2 [0,-1,0,176,-176] 2 [4:24:1]
31152b (2 curves)	2	2+ 3+ 11- 59+	2+ 3+  0  0 11- -6 -4  0
Curve Equation t Generators 31152b1 [0,-1,0,-88,256] 2 [-10:6:1]&[-3:22:1] 31152b2 [0,-1,0,-528,-4320] 2 [-12:12:1]&[-11:6:1]
31152c (1 curve)	1	2+ 3+ 11- 59-	2+ 3+  1 -2 11-  0  3 -1
Curve Equation t Generators 31152c1 [0,-1,0,0,-96] 1 [5:2:1]
31152d (2 curves)	1	2+ 3+ 11- 59-	2+ 3+ -2  0 11-  4  8 -4
Curve Equation t Generators 31152d1 [0,-1,0,-4764,128160] 2 [56:184:1] 31152d2 [0,-1,0,-4544,140304] 2 [-20:472:1]
31152e (4 curves)	1	2+ 3+ 11- 59-	2+ 3+ -2  4 11-  6 -6 -4
Curve Equation t Generators 31152e1 [0,-1,0,-8964,303264] 2 [759:7280:27] 31152e2 [0,-1,0,-140184,20248704] 4 [118:2310:1] 31152e3 [0,-1,0,-136944,21225888] 4 [108:2772:1] 31152e4 [0,-1,0,-2242944,1293680160] 2 [110330:112686:125]
31152f (2 curves)	0	2+ 3- 11+ 59+	2+ 3-  2 -4 11+  4  0  0
Curve Equation t 31152f1 [0,1,0,-87,11160] 2 31152f2 [0,1,0,-8052,272412] 2
31152g (1 curve)	2	2+ 3- 11+ 59+	2+ 3- -3 -4 11+ -6  3 -1
Curve Equation t Generators 31152g1 [0,1,0,-20472,1122804] 1 [-132:1242:1]&[138:972:1]
31152h (2 curves)	1	2+ 3- 11+ 59-	2+ 3-  0  4 11+ -4 -2  4
Curve Equation t Generators 31152h1 [0,1,0,-64248,6246756] 2 [144:42:1] 31152h2 [0,1,0,-64208,6254964] 2 [70:1452:1]
31152i (2 curves)	1	2+ 3- 11+ 59-	2+ 3-  2  2 11+  2 -6  0
Curve Equation t Generators 31152i1 [0,1,0,-192,900] 2 [0:30:1] 31152i2 [0,1,0,168,4212] 2 [12:90:1]
31152j (1 curve)	1	2+ 3- 11- 59+	2+ 3- -1  2 11-  4  3 -3
Curve Equation t Generators 31152j1 [0,1,0,-341536,76711316] 1 [335:66:1]
31152k (2 curves)	1	2+ 3- 11- 59+	2+ 3-  2  2 11- -2  0 -6
Curve Equation t Generators 31152k1 [0,1,0,-26212,-1642180] 2 [206:1320:1] 31152k2 [0,1,0,-26752,-1571548] 2 [-88:330:1]
31152l (1 curve)	1	2- 3+ 11+ 59-	2- 3+ -1 -4 11+ -6 -3 -5
Curve Equation t Generators 31152l1 [0,-1,0,-16376,-1297296] 1 [265:3592:1]
31152m (2 curves)	1	2- 3+ 11+ 59-	2- 3+  2  2 11+ -2  4 -6
Curve Equation t Generators 31152m1 [0,-1,0,-799712,272536320] 2 [12720:9440:27] 31152m2 [0,-1,0,-1499552,-275578368] 2 [144906:55158510:1]
31152n (2 curves)	1	2- 3+ 11+ 59-	2- 3+  2  2 11+ -6  6  4
Curve Equation t Generators 31152n1 [0,-1,0,-17512,-886160] 2 [19380:39824:125] 31152n2 [0,-1,0,-17352,-903312] 2 [428:8360:1]
31152o (1 curve)	1	2- 3+ 11+ 59-	2- 3+  2 -4 11+  3 -3 -2
Curve Equation t Generators 31152o1 [0,-1,0,3,33] 1 [1:6:1]
31152p (4 curves)	1	2- 3+ 11+ 59-	2- 3+ -2  0 11+  2  6  4
Curve Equation t Generators 31152p1 [0,-1,0,-264,1584] 2 [-6:54:1] 31152p2 [0,-1,0,-984,-9936] 4 [-14:30:1] 31152p3 [0,-1,0,1656,-56400] 2 [250:3990:1] 31152p4 [0,-1,0,-15144,-712272] 2 [7158:100430:27]
31152q (2 curves)	1	2- 3+ 11- 59+	2- 3+ -4  0 11-  2 -8 -4
Curve Equation t Generators 31152q1 [0,-1,0,-1000,-5264] 2 [-6:22:1] 31152q2 [0,-1,0,-8040,276336] 2 [84:-432:1]
31152r (1 curve)	0	2- 3+ 11- 59-	2- 3+  1  2 11- -4 -5  3
Curve Equation t 31152r1 [0,-1,0,532560,60341184] 1
31152s (2 curves)	0	2- 3+ 11- 59-	2- 3+  2 -2 11-  2  0  2
Curve Equation t 31152s1 [0,-1,0,-472,-1040] 2 31152s2 [0,-1,0,-4312,109552] 2
31152t (2 curves)	0	2- 3+ 11- 59-	2- 3+ -2  2 11-  2 -2  0
Curve Equation t 31152t1 [0,-1,0,-1904,-31296] 2 31152t2 [0,-1,0,-1264,-53312] 2
31152u (2 curves)	2	2- 3+ 11- 59-	2- 3+ -3 -2 11- -4 -3  1
Curve Equation t Generators 31152u1 [0,-1,0,-192,-9216] 1 [32:128:1]&[50:322:1] 31152u2 [0,-1,0,1728,247296] 1 [80:944:1]&[5:506:1]
31152v (2 curves)	1	2- 3- 11+ 59+	2- 3-  0  0 11+  4  2  4
Curve Equation t Generators 31152v1 [0,1,0,-37848,2611476] 2 [-156:2178:1] 31152v2 [0,1,0,39592,11997204] 2 [70:-3888:1]
31152w (2 curves)	1	2- 3- 11+ 59+	2- 3-  2 -2 11+  2  8 -2
Curve Equation t Generators 31152w1 [0,1,0,-72832,481460] 2 [-220:2430:1] 31152w2 [0,1,0,-772672,-260698828] 2 [-508:990:1]
31152x (1 curve)	1	2- 3- 11+ 59+	2- 3- -3  0 11+ -2 -1  7
Curve Equation t Generators 31152x1 [0,1,0,-1352,-19596] 1 [1050:11541:8]
31152y (1 curve)	0	2- 3- 11+ 59-	2- 3- -2  0 11+ -1  7 -2
Curve Equation t 31152y1 [0,1,0,-6949,-225325] 1
31152z (4 curves)	0	2- 3- 11+ 59-	2- 3- -2  0 11+  2 -2  4
Curve Equation t 31152z1 [0,1,0,-704,4980] 2 31152z2 [0,1,0,-10384,403796] 4 31152z3 [0,1,0,-9504,475956] 4 31152z4 [0,1,0,-166144,26010740] 2
31152ba (1 curve)	0	2- 3- 11- 59+	2- 3- -1 -2 11-  0 -1  5
Curve Equation t 31152ba1 [0,1,0,-1335210416,-18779485060524] 1
31152bb (1 curve)	2	2- 3- 11- 59+	2- 3- -1 -2 11- -4 -7 -5
Curve Equation t Generators 31152bb1 [0,1,0,-1936,37268] 1 [-22:264:1]&[-44:198:1]
31152bc (2 curves)	0	2- 3- 11- 59+	2- 3-  2 -2 11- -2  0 -6
Curve Equation t 31152bc1 [0,1,0,-232,-1420] 2 31152bc2 [0,1,0,-472,1748] 2
31152bd (4 curves)	0	2- 3- 11- 59+	2- 3-  2  4 11-  2  2  4
Curve Equation t 31152bd1 [0,1,0,-4638672,-3846902892] 2 31152bd2 [0,1,0,-4720592,-3704067180] 4 31152bd3 [0,1,0,4190768,-16048083052] 4 31152bd4 [0,1,0,-14942672,17782744980] 2
31152be (1 curve)	0	2- 3- 11- 59+	2- 3-  2  4 11-  7 -3 -6
Curve Equation t 31152be1 [0,1,0,17403,123507] 1
31152bf (2 curves)	0	2- 3- 11- 59+	2- 3-  4  4 11- -4  6  4
Curve Equation t 31152bf1 [0,1,0,-6456,189012] 2 31152bf2 [0,1,0,3784,741972] 2
31152bg (2 curves)	1	2- 3- 11- 59-	2- 3-  2 -2 11-  6  2 -4
Curve Equation t Generators 31152bg1 [0,1,0,-654752,185002740] 2 [-380:19470:1] 31152bg2 [0,1,0,819808,900459252] 2 [34892:40414410:1331]

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