Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 5929.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5929.f1 | 5929c1 | \([0, 0, 1, 11858, 114133]\) | \(884736/539\) | \(-112339662867971\) | \([]\) | \(23040\) | \(1.3852\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5929.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5929.f do not have complex multiplication.Modular form 5929.2.a.f
sage: E.q_eigenform(10)