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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 17136.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17136.z1 | 17136f1 | \([0, 0, 0, -856092, 304879948]\) | \(-371806976516936704/89266779\) | \(-16659323364096\) | \([]\) | \(86016\) | \(1.9150\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17136.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17136.z do not have complex multiplication.Modular form 17136.2.a.z
sage: E.q_eigenform(10)