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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 136710bh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 136710.dr1 | 136710bh1 | \([1, -1, 1, -4586730098, 123902291286897]\) | \(-124427822010671478697670089/5317924709672681472000\) | \(-456097774118677069522010112000\) | \([]\) | \(275425920\) | \(4.4571\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 136710bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 136710bh do not have complex multiplication.Modular form 136710.2.a.bh
sage: E.q_eigenform(10)