Show commands:
SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 248256k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248256.k1 | 248256k1 | \([0, 0, 0, -1884, 31664]\) | \(-61918288/431\) | \(-5147836416\) | \([]\) | \(168960\) | \(0.69712\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248256k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 248256k do not have complex multiplication.Modular form 248256.2.a.k
sage: E.q_eigenform(10)