Properties

Label 25920.ci
Number of curves $1$
Conductor $25920$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 25920.ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25920.ci1 25920co1 \([0, 0, 0, -12, 14]\) \(36864/5\) \(25920\) \([]\) \(1920\) \(-0.42592\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25920.ci1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25920.ci do not have complex multiplication.

Modular form 25920.2.a.ci

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