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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 418950.h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 418950.h1 | 418950h1 | \([1, -1, 0, -47229492, -185067073584]\) | \(-1095008203125/757071872\) | \(-8055328920145920000000000\) | \([]\) | \(112896000\) | \(3.4793\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 418950.h do not have complex multiplication.Modular form 418950.2.a.h
sage: E.q_eigenform(10)