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Properties

Label 348726h
Number of curves $1$
Conductor $348726$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 348726h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
348726.h1 348726h1 [1, 1, 0, -1742554, -876956012] [] 9676800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348726h1 has rank \(1\).

Complex multiplication

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

Modular form 348726.2.a.h

sage: E.q_eigenform(10)
 
\( q - q^{2} - q^{3} + q^{4} + 2q^{5} + q^{6} - q^{7} - q^{8} + q^{9} - 2q^{10} + 4q^{11} - q^{12} - 2q^{13} + q^{14} - 2q^{15} + q^{16} + 3q^{17} - q^{18} + O(q^{20}) \)