Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 389376v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
389376.v1 | 389376v1 | \([0, 0, 0, 28392, 281216]\) | \(21952/13\) | \(-1498928542285824\) | \([]\) | \(1290240\) | \(1.6013\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 389376v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 389376v do not have complex multiplication.Modular form 389376.2.a.v
sage: E.q_eigenform(10)