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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 292215s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 292215.s1 | 292215s1 | \([0, 1, 1, 3529409, 5743706326]\) | \(2744564518708084736/9629735831296875\) | \(-17059664439028123171875\) | \([]\) | \(13384800\) | \(2.9489\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 292215s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 292215s do not have complex multiplication.Modular form 292215.2.a.s
sage: E.q_eigenform(10)