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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 148225bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
148225.bh1 | 148225bh1 | \([0, 0, 1, 296450, 14266656]\) | \(884736/539\) | \(-1755307232312046875\) | \([]\) | \(3225600\) | \(2.1900\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148225bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 148225bh do not have complex multiplication.Modular form 148225.2.a.bh
sage: E.q_eigenform(10)