Cremona's table of elliptic curves

1710 = 2 · 3² · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 19-	Signs for the Atkin-Lehner involutions
Conductor	1710	Conductor
Count	4	Number of curves in isogeny class
Curves	1710g1 1710g2 1710g3 1710g4	Curves in isogeny class
deg	7680	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  4  0 -6 -2 19-	Hecke eigenvalues for primes less than 20
L	2.2323440489626	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	13680bd 54720bx 570i 8550bh	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1710g

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

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Quadratic twists for isogeny class 1710g

-4	8	-3	5	-7	-19
13680bd	54720bx	570i	8550bh	83790bs	32490bo

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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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