Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 15680.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15680.f1 | 15680dh1 | \([0, 0, 0, -1372, 38416]\) | \(-3024/5\) | \(-472252497920\) | \([]\) | \(32256\) | \(0.93094\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15680.f do not have complex multiplication.Modular form 15680.2.a.f
sage: E.q_eigenform(10)