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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 483575.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
483575.b1 | 483575b1 | \([0, 1, 1, -385458, 92318244]\) | \(-5451776/23\) | \(-26720578873046875\) | \([]\) | \(6860000\) | \(2.0067\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 483575.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 483575.b do not have complex multiplication.Modular form 483575.2.a.b
sage: E.q_eigenform(10)