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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 80223.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80223.f1 | 80223p1 | \([1, 0, 0, -910, -11527]\) | \(-5692551601/574821\) | \(-8415954261\) | \([]\) | \(44928\) | \(0.64447\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80223.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 80223.f do not have complex multiplication.Modular form 80223.2.a.f
sage: E.q_eigenform(10)