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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 302330.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.bh1 | 302330bh1 | \([1, -1, 1, 55973, -620021]\) | \(3364204749759/1974400000\) | \(-11382023094400000\) | \([]\) | \(1831200\) | \(1.7703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302330.bh do not have complex multiplication.Modular form 302330.2.a.bh
sage: E.q_eigenform(10)