Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 348726.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
348726.g1 348726g1 \([1, 1, 0, -74734, 12628852]\) \(-2718057673/2503872\) \(-42524667958594752\) \([]\) \(4760640\) \(1.8874\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348726.g1 has rank \(0\).

Complex multiplication

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

Modular form 348726.2.a.g

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