Cremona's table of elliptic curves

5310 = 2 · 3² · 5 · 59

Class	r	Atkin-Lehner	Eigenvalues
5310a (1 curve)	2	2+ 3+ 5+ 59-	2+ 3+ 5+ -3 -4 -5 -3 -8
Curve Equation t Generators 5310a1 [1,-1,0,-15,45] 1 [-3:9:1]&[-2:9:1]
5310b (2 curves)	0	2+ 3+ 5- 59+	2+ 3+ 5-  0  4  4  0  4
Curve Equation t 5310b1 [1,-1,0,-16134,430388] 2 5310b2 [1,-1,0,52986,3098420] 2
5310c (2 curves)	1	2+ 3+ 5- 59-	2+ 3+ 5- -1  0 -1  3 -4
Curve Equation t Generators 5310c1 [1,-1,0,-15054,715860] 3 [-116:1002:1] 5310c2 [1,-1,0,24771,3483845] 1 [-1842:33689:27]
5310d (6 curves)	1	2+ 3- 5+ 59-	2+ 3- 5+  0 -4 -2  6  4
Curve Equation t Generators 5310d1 [1,-1,0,28035,1673541] 2 [50085:996192:343] 5310d2 [1,-1,0,-156285,15718725] 4 [-75:5235:1] 5310d3 [1,-1,0,-1005885,-376286715] 2 [-13353:11720:27] 5310d4 [1,-1,0,-2255805,1304404101] 4 [-318:44763:1] 5310d5 [1,-1,0,-36091125,83463328125] 2 [4461:103704:1] 5310d6 [1,-1,0,-2012805,1596149901] 2 [453:27651:1]
5310e (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+ -3 -1 -5  3  2
Curve Equation t Generators 5310e1 [1,-1,0,2340,45616] 1 [53:536:1]
5310f (1 curve)	1	2+ 3- 5+ 59-	2+ 3- 5+ -3  5  1 -3 -8
Curve Equation t Generators 5310f1 [1,-1,0,-3150,-67500] 1 [75:300:1]
5310g (1 curve)	0	2+ 3- 5- 59-	2+ 3- 5- -3  3 -5 -1 -2
Curve Equation t 5310g1 [1,-1,0,-6489,-415827] 1
5310h (1 curve)	2	2+ 3- 5- 59-	2+ 3- 5- -5 -6 -5 -3 -6
Curve Equation t Generators 5310h1 [1,-1,0,-639,6673] 1 [8:41:1]&[-18:119:1]
5310i (2 curves)	0	2- 3+ 5+ 59+	2- 3+ 5+ -1  0 -1 -3 -4
Curve Equation t 5310i1 [1,-1,1,2752,-129949] 3 5310i2 [1,-1,1,-135488,-19192733] 1
5310j (2 curves)	1	2- 3+ 5+ 59-	2- 3+ 5+  0 -4  4  0  4
Curve Equation t Generators 5310j1 [1,-1,1,-1793,-15343] 2 [-17:108:1] 5310j2 [1,-1,1,5887,-116719] 2 [63:676:1]
5310k (1 curve)	1	2- 3+ 5- 59+	2- 3+ 5- -3  4 -5  3 -8
Curve Equation t Generators 5310k1 [1,-1,1,-137,-1079] 1 [19:44:1]
5310l (1 curve)	1	2- 3- 5+ 59+	2- 3- 5+  1  5 -7 -1 -2
Curve Equation t Generators 5310l1 [1,-1,1,7,-143] 1 [13:38:1]
5310m (1 curve)	0	2- 3- 5+ 59-	2- 3- 5+ -3  2  1  3 -2
Curve Equation t 5310m1 [1,-1,1,7087,-3123583] 1
5310n (4 curves)	0	2- 3- 5+ 59-	2- 3- 5+  4 -4  2  6  4
Curve Equation t 5310n1 [1,-1,1,7,-359] 2 5310n2 [1,-1,1,-713,-6983] 4 5310n3 [1,-1,1,-11333,-461519] 2 5310n4 [1,-1,1,-1613,14977] 2
5310o (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  1  2  3  5 -6
Curve Equation t 5310o1 [1,-1,1,148,-61] 1
5310p (1 curve)	0	2- 3- 5- 59+	2- 3- 5-  1  5 -3 -1  6
Curve Equation t 5310p1 [1,-1,1,-9932,-17685169] 1
5310q (2 curves)	0	2- 3- 5- 59+	2- 3- 5-  5  3 -1 -3 -4
Curve Equation t 5310q1 [1,-1,1,1408,-4759] 1 5310q2 [1,-1,1,-17177,976529] 3
5310r (1 curve)	1	2- 3- 5- 59-	2- 3- 5- -1  2  1 -7 -6
Curve Equation t Generators 5310r1 [1,-1,1,-302,74301] 1 [-19:279:1]

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