Properties

Label 229320.cp
Number of curves $1$
Conductor $229320$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cp1")
 
E.isogeny_class()
 

Elliptic curves in class 229320.cp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.cp1 229320b1 \([0, 0, 0, -2837982, 1840484149]\) \(-767228471296/142155\) \(-468371057867884080\) \([]\) \(4440576\) \(2.3931\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 229320.cp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 229320.cp do not have complex multiplication.

Modular form 229320.2.a.cp

sage: E.q_eigenform(10)
 
\(q + q^{5} - 5 q^{11} - q^{13} - q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display