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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 35280.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35280.bh1 | 35280dr1 | \([0, 0, 0, -254163, -49897582]\) | \(-105484561/1440\) | \(-24787589110824960\) | \([]\) | \(322560\) | \(1.9526\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35280.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35280.bh do not have complex multiplication.Modular form 35280.2.a.bh
sage: E.q_eigenform(10)