Cremona's table of elliptic curves

31620 = 2² · 3 · 5 · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
31620a (2 curves)	0	2- 3+ 5+ 17+ 31+	2- 3+ 5+ -4  6  2 17+ -8
Curve Equation t 31620a1 [0,-1,0,-101,-1134] 2 31620a2 [0,-1,0,-2396,-44280] 2
31620b (1 curve)	1	2- 3+ 5+ 17+ 31-	2- 3+ 5+  1 -5 -3 17+ -7
Curve Equation t Generators 31620b1 [0,-1,0,-34101,2532546] 1 [-162:1944:1]
31620c (1 curve)	1	2- 3+ 5+ 17+ 31-	2- 3+ 5+ -1  5 -6 17+ -3
Curve Equation t Generators 31620c1 [0,-1,0,-18206,-1163475] 1 [314157:33883651:27]
31620d (1 curve)	1	2- 3+ 5+ 17+ 31-	2- 3+ 5+ -4 -1 -3 17+ -6
Curve Equation t Generators 31620d1 [0,-1,0,-116,-744] 1 [33:174:1]
31620e (1 curve)	1	2- 3+ 5+ 17- 31+	2- 3+ 5+  0  5 -1 17-  2
Curve Equation t Generators 31620e1 [0,-1,0,-1156,-17000] 1 [9141521:2751072:226981]
31620f (2 curves)	0	2- 3+ 5- 17+ 31-	2- 3+ 5-  0  2 -2 17+  0
Curve Equation t 31620f1 [0,-1,0,35,82] 2 31620f2 [0,-1,0,-220,1000] 2
31620g (1 curve)	1	2- 3+ 5- 17- 31-	2- 3+ 5-  3  3 -5 17-  1
Curve Equation t Generators 31620g1 [0,-1,0,-5,150] 1 [5:15:1]
31620h (1 curve)	1	2- 3- 5+ 17+ 31+	2- 3- 5+ -1  1  1 17+ -1
Curve Equation t Generators 31620h1 [0,1,0,-101,360] 1 [4:6:1]
31620i (1 curve)	1	2- 3- 5+ 17+ 31+	2- 3- 5+ -1  1  4 17+ -7
Curve Equation t Generators 31620i1 [0,1,0,-57466,-5369851] 1 [3797:233523:1]
31620j (2 curves)	1	2- 3- 5+ 17- 31-	2- 3- 5+ -1  3 -1 17- -1
Curve Equation t Generators 31620j1 [0,1,0,1139,17564] 3 [-13:27:1] 31620j2 [0,1,0,-11101,-733360] 1 [140:690:1]
31620k (1 curve)	1	2- 3- 5- 17+ 31-	2- 3- 5-  1  3  2 17+ -3
Curve Equation t Generators 31620k1 [0,1,0,-450,-13527] 1 [126:-1395:1]

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

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