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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 80223a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80223.i1 | 80223a1 | \([0, -1, 1, 103, 2474]\) | \(89915392/2094417\) | \(-2787669027\) | \([]\) | \(51840\) | \(0.49260\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80223a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 80223a do not have complex multiplication.Modular form 80223.2.a.a
sage: E.q_eigenform(10)