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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 479808.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.bh1 | 479808bh1 | \([0, 0, 0, 168756, 32307856]\) | \(964894/1377\) | \(-758500226791243776\) | \([]\) | \(5505024\) | \(2.1164\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 479808.bh do not have complex multiplication.Modular form 479808.2.a.bh
sage: E.q_eigenform(10)