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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 402930.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
402930.be1 | 402930be1 | \([1, -1, 0, -7542255, 8127110701]\) | \(-991990479802737267/22190066240000\) | \(-1061398510331417280000\) | \([]\) | \(24710400\) | \(2.8229\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 402930.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 402930.be do not have complex multiplication.Modular form 402930.2.a.be
sage: E.q_eigenform(10)