Cremona's table of elliptic curves

312 = 2³ · 3 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 13-	Signs for the Atkin-Lehner involutions
Conductor	312	Conductor
Count	4	Number of curves in isogeny class
Curves	312c1 312c2 312c3 312c4	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2- 3-  2  0  0 13-  2 -4	Hecke eigenvalues for primes less than 20
L	1.7776867882324	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	624c 2496c 936e 7800a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 312c

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	-	2	-4	0	6	0	-2	6	-12	-4	6	-8	-2	4	-12	-14	0	8	-18	-6

---

Quadratic twists for isogeny class 312c

-4	8	-3	5	-7	-11	13	17	-19
624c	2496c	936e	7800a	15288v	37752i	4056f	90168v	112632b

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations