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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 372810.s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 372810.s1 | 372810s1 | \([1, 1, 0, 1464213, -23481004419]\) | \(14382768678616871/9876709319915520\) | \(-238399752702403938170880\) | \([]\) | \(52039680\) | \(3.1647\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.s do not have complex multiplication.Modular form 372810.2.a.s
sage: E.q_eigenform(10)