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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 19074.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19074.bh1 | 19074be1 | \([1, 0, 0, 3173, -674767]\) | \(506447/28512\) | \(-198892796157792\) | \([]\) | \(73440\) | \(1.4233\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19074.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19074.bh do not have complex multiplication.Modular form 19074.2.a.bh
sage: E.q_eigenform(10)