Properties

Label 344760.ci
Number of curves $1$
Conductor $344760$
CM no
Rank $0$

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

Elliptic curves in class 344760.ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344760.ci1 344760ci1 \([0, 1, 0, -2760, -57147]\) \(-30118144/255\) \(-19693380720\) \([]\) \(368640\) \(0.80096\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344760.ci1 has rank \(0\).

Complex multiplication

The elliptic curves in class 344760.ci do not have complex multiplication.

Modular form 344760.2.a.ci

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