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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 121242.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121242.bh1 | 121242be1 | \([1, 0, 0, -240941, 45497937]\) | \(1162192035291512939/95742590976\) | \(127433388589056\) | \([]\) | \(1233792\) | \(1.7510\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121242.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121242.bh do not have complex multiplication.Modular form 121242.2.a.bh
sage: E.q_eigenform(10)