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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 126350cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
126350.cd1 | 126350cz1 | \([1, -1, 1, -1621680, -858979053]\) | \(-1026590625/100352\) | \(-46104963380000000000\) | \([]\) | \(9290160\) | \(2.5140\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126350cz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 126350cz do not have complex multiplication.Modular form 126350.2.a.cz
sage: E.q_eigenform(10)