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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 80656.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80656.a1 | 80656p1 | \([0, 0, 0, -211817779, 1181678241778]\) | \(2003092024307193/9529458688\) | \(5000095185085399677534208\) | \([]\) | \(39191040\) | \(3.5885\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80656.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 80656.a do not have complex multiplication.Modular form 80656.2.a.a
sage: E.q_eigenform(10)