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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 478800.cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
478800.cz1 | 478800cz1 | \([0, 0, 0, 25125, 7209610]\) | \(23497109375/314399232\) | \(-23469776909107200\) | \([]\) | \(3317760\) | \(1.8220\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 478800.cz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 478800.cz do not have complex multiplication.Modular form 478800.2.a.cz
sage: E.q_eigenform(10)