Cremona's table of elliptic curves

624 = 2⁴ · 3 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 13+	Signs for the Atkin-Lehner involutions
Conductor	624	Conductor
Count	2	Number of curves in isogeny class
Curves	624d1 624d2	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2+ 3-  0  4  2 13+ -6  4	Hecke eigenvalues for primes less than 20
L	2.0999273690398	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	312b 2496w 1872d 15600j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 624d

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
+	-	0	4	2	+	-6	4	-4	10	8	-2	0	4	-2	-2	-10	10	-8	-2	-10	-8	-6	-12	-2

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Quadratic twists for isogeny class 624d

-4	8	-3	5	-7	-11	13
312b	2496w	1872d	15600j	30576h	75504v	8112j

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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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