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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 213444.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213444.bh1 | 213444be1 | \([0, 0, 0, -362208, 83564404]\) | \(5767168/27\) | \(24603618722893056\) | \([]\) | \(1548288\) | \(1.9951\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213444.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 213444.bh do not have complex multiplication.Modular form 213444.2.a.bh
sage: E.q_eigenform(10)