Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 954.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
954.f1 | 954c1 | \([1, -1, 0, -108, -1328]\) | \(-192100033/976896\) | \(-712157184\) | \([]\) | \(704\) | \(0.38299\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 954.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 954.f do not have complex multiplication.Modular form 954.2.a.f
sage: E.q_eigenform(10)