Properties

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

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Show commands: SageMath
E = EllipticCurve("cy1")
 
E.isogeny_class()
 

Elliptic curves in class 348726cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
348726.cy1 348726cy1 \([1, 0, 0, -1852479, 975092121]\) \(-14943832855786297/85501108224\) \(-4022474962874425344\) \([]\) \(11232000\) \(2.4116\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348726cy1 has rank \(1\).

Complex multiplication

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

Modular form 348726.2.a.cy

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