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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 287490s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 287490.s1 | 287490s1 | \([1, 1, 0, -1090218237, 15881827134429]\) | \(-40799068523524066681/7413280434756000\) | \(-26038995213234988348878276000\) | \([]\) | \(358041600\) | \(4.1774\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 287490s do not have complex multiplication.Modular form 287490.2.a.s
sage: E.q_eigenform(10)