Properties

Label 348726.t
Number of curves $1$
Conductor $348726$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 348726.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
348726.t1 348726t1 \([1, 0, 1, -232492, -75643414]\) \(-81830698777/98114688\) \(-1666336988896046208\) \([]\) \(7354368\) \(2.1902\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348726.t1 has rank \(0\).

Complex multiplication

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

Modular form 348726.2.a.t

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