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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 258570.cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
258570.cz1 | 258570cz1 | \([1, -1, 1, -217028, 39192391]\) | \(-2010964662603/13363360\) | \(-7512428815987680\) | \([]\) | \(3225600\) | \(1.8818\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 258570.cz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 258570.cz do not have complex multiplication.Modular form 258570.2.a.cz
sage: E.q_eigenform(10)