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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 71058b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71058.b1 | 71058b1 | \([1, 1, 0, -32, 48]\) | \(3803721481/568464\) | \(568464\) | \([]\) | \(8960\) | \(-0.17143\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71058b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 71058b do not have complex multiplication.Modular form 71058.2.a.b
sage: E.q_eigenform(10)