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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 188760.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
188760.bh1 | 188760x1 | \([0, -1, 0, -865, -334475]\) | \(-2313389056/1561572675\) | \(-48371275180800\) | \([]\) | \(430080\) | \(1.3049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 188760.bh do not have complex multiplication.Modular form 188760.2.a.bh
sage: E.q_eigenform(10)