Properties

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

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 348726be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
348726.be1 348726be1 \([1, 0, 1, 995382740502, -322149530840420516]\) \(2318314888982052959258980764303839/2294583335871127030705847402496\) \(-107950694563976073622470642901985918976\) \([]\) \(10199347200\) \(5.9849\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348726be1 has rank \(1\).

Complex multiplication

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

Modular form 348726.2.a.be

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