Properties

Label 296240cl
Number of curves $1$
Conductor $296240$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 296240cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
296240.cl1 296240cl1 \([0, 1, 0, -95396, 22318079]\) \(-40535147776/67648175\) \(-160229723605641200\) \([]\) \(2027520\) \(1.9921\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 296240cl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 296240cl do not have complex multiplication.

Modular form 296240.2.a.cl

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} - 2 q^{9} - 2 q^{11} - q^{13} - q^{15} + 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display