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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 428736.cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
428736.cd1 | 428736cd1 | \([0, -1, 0, -1, 6049]\) | \(-1/60291\) | \(-15804923904\) | \([]\) | \(221184\) | \(0.63585\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 428736.cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 428736.cd do not have complex multiplication.Modular form 428736.2.a.cd
sage: E.q_eigenform(10)