Properties

Label 344760q
Number of curves $1$
Conductor $344760$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 344760q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344760.q1 344760q1 \([0, -1, 0, -56, -6735]\) \(-256/255\) \(-19693380720\) \([]\) \(207360\) \(0.65431\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344760q1 has rank \(1\).

Complex multiplication

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

Modular form 344760.2.a.q

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