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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 412224.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
412224.bh1 | 412224bh1 | \([0, -1, 0, -5157, -186435]\) | \(-925932608512/397609371\) | \(-6514431934464\) | \([]\) | \(602112\) | \(1.1663\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 412224.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 412224.bh do not have complex multiplication.Modular form 412224.2.a.bh
sage: E.q_eigenform(10)