Properties

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

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Show commands: SageMath
E = EllipticCurve("cg1")
 
E.isogeny_class()
 

Elliptic curves in class 344760.cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344760.cg1 344760cg1 \([0, 1, 0, 2440, -3600]\) \(4639792222/2709375\) \(-937747200000\) \([]\) \(376320\) \(0.98665\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344760.cg1 has rank \(1\).

Complex multiplication

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

Modular form 344760.2.a.cg

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{7} + q^{9} + q^{11} + q^{15} - q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display