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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 338100bh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 338100.bh1 | 338100bh1 | \([0, -1, 0, -94762733, -355365306183]\) | \(-124987975924372480000/136413466120323\) | \(-102713010403775236012800\) | \([]\) | \(39398400\) | \(3.3309\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338100bh do not have complex multiplication.Modular form 338100.2.a.bh
sage: E.q_eigenform(10)