Cremona's table of elliptic curves

42312 = 2³ · 3 · 41 · 43

Class	r	Atkin-Lehner	Eigenvalues
42312a (1 curve)	1	2+ 3+ 41+ 43+	2+ 3+  0  3  6 -2  4 -3
Curve Equation t Generators 42312a1 [0,-1,0,7,-99] 1 [5:6:1]
42312b (2 curves)	0	2+ 3+ 41+ 43-	2+ 3+ -2 -2  0 -2 -2  4
Curve Equation t 42312b1 [0,-1,0,-650544,202175964] 2 42312b2 [0,-1,0,-650504,202202028] 2
42312c (1 curve)	1	2+ 3+ 41- 43-	2+ 3+  0 -1  2  4  2 -7
Curve Equation t Generators 42312c1 [0,-1,0,-4433,115125] 1 [53:162:1]
42312d (1 curve)	1	2+ 3+ 41- 43-	2+ 3+ -3 -1  5 -5  2 -7
Curve Equation t Generators 42312d1 [0,-1,0,21768,-486084] 1 [362:7396:1]
42312e (1 curve)	1	2+ 3- 41+ 43-	2+ 3-  1  0  2  5 -3 -5
Curve Equation t Generators 42312e1 [0,1,0,-1720,-29584] 1 [215:3096:1]
42312f (1 curve)	0	2- 3+ 41+ 43+	2- 3+ -2  3 -2 -2  2  5
Curve Equation t 42312f1 [0,-1,0,-1209,-171315] 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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