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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 176400.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.bh1 | 176400nu1 | \([0, 0, 0, 5145, -4453855]\) | \(1280/729\) | \(-8578224503074800\) | \([]\) | \(1032192\) | \(1.7364\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400.bh do not have complex multiplication.Modular form 176400.2.a.bh
sage: E.q_eigenform(10)