Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 7840f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7840.c1 | 7840f1 | \([0, 1, 0, -16, -36]\) | \(-19208/5\) | \(-125440\) | \([]\) | \(672\) | \(-0.30468\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7840f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7840f do not have complex multiplication.Modular form 7840.2.a.f
sage: E.q_eigenform(10)