Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 41280.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41280.c1 | 41280m1 | \([0, -1, 0, 39, 315]\) | \(99897344/783675\) | \(-50155200\) | \([]\) | \(15360\) | \(0.15902\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41280.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 41280.c do not have complex multiplication.Modular form 41280.2.a.c
sage: E.q_eigenform(10)