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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 58870w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
58870.m1 | 58870w1 | \([1, -1, 1, 4308, 540591]\) | \(10515969243639/156800000000\) | \(-131868800000000\) | \([]\) | \(374400\) | \(1.3901\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 58870w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 58870w do not have complex multiplication.Modular form 58870.2.a.w
sage: E.q_eigenform(10)