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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 213444bh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 213444.bl1 | 213444bh1 | \([0, 0, 0, -91051653, 334418183561]\) | \(-34339609640704/916839\) | \(-2228871036904115378544\) | \([]\) | \(16588800\) | \(3.2013\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213444bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 213444bh do not have complex multiplication.Modular form 213444.2.a.bh
sage: E.q_eigenform(10)