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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 17136s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17136.bc1 | 17136s1 | \([0, 0, 0, -7587, 331938]\) | \(-599077107/243712\) | \(-19648443580416\) | \([]\) | \(25344\) | \(1.2592\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17136s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17136s do not have complex multiplication.Modular form 17136.2.a.s
sage: E.q_eigenform(10)