Properties

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

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Show commands: SageMath
E = EllipticCurve("bw1")
 
E.isogeny_class()
 

Elliptic curves in class 344760.bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
344760.bw1 344760bw1 \([0, 1, 0, 412304, -9558496]\) \(4639792222/2709375\) \(-4526326624684800000\) \([]\) \(4892160\) \(2.2691\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 344760.bw1 has rank \(1\).

Complex multiplication

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

Modular form 344760.2.a.bw

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