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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 17136.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17136.s1 | 17136i1 | \([0, 0, 0, -3, -23326]\) | \(-2/157437\) | \(-235052181504\) | \([]\) | \(13824\) | \(0.86081\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17136.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17136.s do not have complex multiplication.Modular form 17136.2.a.s
sage: E.q_eigenform(10)