Cremona's table of elliptic curves

78 = 2 · 3 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13-	Signs for the Atkin-Lehner involutions
Conductor	78	Conductor
Count	4	Number of curves in isogeny class
Curves	78a1 78a2 78a3 78a4	Curves in isogeny class
deg	40	Modular degree for the optimal curve
Eigenvalues	2+ 3+  2  4 -4 13-  2 -8	Hecke eigenvalues for primes less than 20
L	0.7252179630883	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	624i 2496j 234d 1950v	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 78a

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	-4	-	2	-8	0	6	-4	-2	-10	4	8	-10	4	-2	-16	-8	2	8	12	14	10

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Quadratic twists for isogeny class 78a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
624i	2496j	234d	1950v	3822m	9438u	1014e	22542n	28158r	41262g	65598bl	74958k	106782j

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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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