Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 92416.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92416.f1 | 92416i1 | \([0, -1, 0, 18291, -623915]\) | \(1216\) | \(-556517393727488\) | \([]\) | \(262656\) | \(1.5172\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92416.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92416.f do not have complex multiplication.Modular form 92416.2.a.f
sage: E.q_eigenform(10)