Properties

Label 348726.w
Number of curves $1$
Conductor $348726$
CM no
Rank $2$

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Show commands for: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 348726.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
348726.w1 348726w1 [1, 0, 1, 18764, 113119154] [] 7197120 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348726.w1 has rank \(2\).

Complex multiplication

The elliptic curves in class 348726.w do not have complex multiplication.

Modular form 348726.2.a.w

sage: E.q_eigenform(10)
 
\( q - q^{2} + q^{3} + q^{4} - q^{6} + q^{7} - q^{8} + q^{9} - q^{11} + q^{12} - 4q^{13} - q^{14} + q^{16} - 2q^{17} - q^{18} + O(q^{20}) \)