Label 28224.cp
Number of curves $1$
Conductor $28224$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("cp1")
sage: 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


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)
\(q - q^{5} + 5q^{11} + 2q^{13} - 6q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display