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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 41785.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41785.a1 | 41785a1 | \([0, 1, 1, -286, 1766]\) | \(2596207734784/5223125\) | \(5223125\) | \([]\) | \(23232\) | \(0.17615\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41785.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 41785.a do not have complex multiplication.Modular form 41785.2.a.a
sage: E.q_eigenform(10)