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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 418950.s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 418950.s1 | 418950s1 | \([1, -1, 0, -831578652512442, -9233246369930800990284]\) | \(-138357846491853121383730987168838623/55816105091607428996184145920\) | \(-25656029254705983781976153641545891840000000\) | \([]\) | \(183866941440\) | \(7.2927\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 418950.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 418950.s do not have complex multiplication.Modular form 418950.2.a.s
sage: E.q_eigenform(10)