Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 3240.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3240.c1 | 3240a1 | \([0, 0, 0, -948, -11228]\) | \(4543847424/3125\) | \(64800000\) | \([]\) | \(960\) | \(0.43616\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3240.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3240.c do not have complex multiplication.Modular form 3240.2.a.c
sage: E.q_eigenform(10)