Cremona's table of elliptic curves

312 = 2³ · 3 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13-	Signs for the Atkin-Lehner involutions
Conductor	312	Conductor
Count	4	Number of curves in isogeny class
Curves	312d1 312d2 312d3 312d4	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2+ 3+ -2  4  0 13-  2  8	Hecke eigenvalues for primes less than 20
L	1.1450002182025	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	624f 2496i 936i 7800u	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 312d

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	-2	4	0	-	2	8	8	-2	4	-10	2	-4	-12	6	0	-2	8	-12	10	-8	0	-14	2

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Quadratic twists for isogeny class 312d

-4	8	-3	5	-7	-11	13	17	-19
624f	2496i	936i	7800u	15288j	37752r	4056m	90168o	112632y

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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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