Cremona's table of elliptic curves

7812 = 2² · 3² · 7 · 31

Class	r	Atkin-Lehner	Eigenvalues
7812a (2 curves)	0	2- 3+ 7+ 31+	2- 3+  2 7+  6 -2  8 -4
Curve Equation t 7812a1 [0,0,0,-1944,-33507] 2 7812a2 [0,0,0,-31239,-2125170] 2
7812b (2 curves)	2	2- 3+ 7+ 31+	2- 3+ -2 7+ -6 -2 -8 -4
Curve Equation t Generators 7812b1 [0,0,0,-216,1241] 2 [-10:49:1]&[4:21:1] 7812b2 [0,0,0,-3471,78710] 2 [7:234:1]&[22:114:1]
7812c (2 curves)	1	2- 3+ 7- 31+	2- 3+  2 7- -4 -4  2  4
Curve Equation t Generators 7812c1 [0,0,0,-24,-23] 2 [-4:3:1] 7812c2 [0,0,0,81,-170] 2 [3:10:1]
7812d (2 curves)	1	2- 3+ 7- 31+	2- 3+ -2 7-  4 -4 -2  4
Curve Equation t Generators 7812d1 [0,0,0,-216,621] 2 [31:154:1] 7812d2 [0,0,0,729,4590] 2 [194:1529:8]
7812e (2 curves)	1	2- 3- 7+ 31+	2- 3-  0 7+  0  0  2 -4
Curve Equation t Generators 7812e1 [0,0,0,-300,1969] 2 [-10:63:1] 7812e2 [0,0,0,-615,-2882] 2 [-13:54:1]
7812f (2 curves)	1	2- 3- 7+ 31+	2- 3-  0 7+  4 -4 -2  4
Curve Equation t Generators 7812f1 [0,0,0,-204420,35571013] 2 [1378:18711:8] 7812f2 [0,0,0,-219855,29887846] 2 [134666:693594:343]
7812g (1 curve)	1	2- 3- 7+ 31+	2- 3-  1 7+  0  1  4  2
Curve Equation t Generators 7812g1 [0,0,0,-192,1892] 1 [-8:54:1]
7812h (1 curve)	0	2- 3- 7+ 31-	2- 3- -3 7+  0 -5  0  6
Curve Equation t 7812h1 [0,0,0,816,-181676] 1
7812i (2 curves)	0	2- 3- 7- 31+	2- 3- -4 7-  2  2  8  4
Curve Equation t 7812i1 [0,0,0,38868,3917905] 2 7812i2 [0,0,0,-263847,39940990] 2
7812j (4 curves)	1	2- 3- 7- 31-	2- 3-  0 7-  0 -4  6 -4
Curve Equation t Generators 7812j1 [0,0,0,-3540,62557] 2 [-37:378:1] 7812j2 [0,0,0,-18975,-953066] 2 [278:3906:1] 7812j3 [0,0,0,-268140,53442961] 6 [-568:4743:1] 7812j4 [0,0,0,-268455,53311102] 6 [26279:4259214:1]

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

Part of Computational Number Theory
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