Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 9792.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9792.f1 | 9792z1 | \([0, 0, 0, 6, -74]\) | \(512/51\) | \(-2379456\) | \([]\) | \(1536\) | \(-0.097039\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9792.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9792.f do not have complex multiplication.Modular form 9792.2.a.f
sage: E.q_eigenform(10)