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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 328560.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
328560.cd1 | 328560cd1 | \([0, 1, 0, 33769, 2024244]\) | \(75776/75\) | \(-4214975344705200\) | \([]\) | \(1363968\) | \(1.6851\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 328560.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 328560.cd do not have complex multiplication.Modular form 328560.2.a.cd
sage: E.q_eigenform(10)