Cremona's table of elliptic curves

98 = 2 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 7-	Signs for the Atkin-Lehner involutions
Conductor	98	Conductor
Count	6	Number of curves in isogeny class
Curves	98a1 98a2 98a3 98a4 98a5 98a6	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2+  2  0 7-  0  4 -6 -2	Hecke eigenvalues for primes less than 20
L	1.0019771957699	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	784j 3136k 882i 2450y	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 98a

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

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Quadratic twists for isogeny class 98a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
784j	3136k	882i	2450y	14a	11858bk	16562bo	28322h	35378p	51842e	82418p	94178h

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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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