Cremona's table of elliptic curves

3036 = 2² · 3 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 23+	Signs for the Atkin-Lehner involutions
Conductor	3036	Conductor
Count	2	Number of curves in isogeny class
Curves	3036b1 3036b2	Curves in isogeny class
deg	31680	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2 -2 11+ -2  0 -6	Hecke eigenvalues for primes less than 20
L	0.55255938647823	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	12144bp 48576bl 9108r 75900r	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3036b

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	-2	+	-2	0	-6	+	0	8	-6	-8	6	-8	2	12	10	0	0	-10	6	8	6	-18

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Quadratic twists for isogeny class 3036b

-4	8	-3	5	-11	-23
12144bp	48576bl	9108r	75900r	33396e	69828p

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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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