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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 392784.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.bh1 | 392784bh1 | \([0, -1, 0, -289, -1763]\) | \(213541888/4509\) | \(56560896\) | \([]\) | \(118656\) | \(0.27704\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 392784.bh do not have complex multiplication.Modular form 392784.2.a.bh
sage: E.q_eigenform(10)