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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 79350.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.cd1 | 79350cw1 | \([1, 1, 1, -932638, -341256469]\) | \(1551443665/29808\) | \(1723692882543750000\) | \([]\) | \(2027520\) | \(2.2923\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 79350.cd do not have complex multiplication.Modular form 79350.2.a.cd
sage: E.q_eigenform(10)