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SageMath
E = EllipticCurve("cp1")
E.isogeny_class()
Elliptic curves in class 28224.cp
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28224.cp1 | 28224dq1 | \([0, 0, 0, -259308, 65345616]\) | \(-2646\) | \(-728755119858253824\) | \([]\) | \(322560\) | \(2.1373\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28224.cp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28224.cp do not have complex multiplication.Modular form 28224.2.a.cp
sage: E.q_eigenform(10)