Properties

Label 63426.x
Number of curves $1$
Conductor $63426$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 63426.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63426.x1 63426y1 \([1, 1, 1, -5858276, 5941101845]\) \(-26069917217089/2806152624\) \(-2393342422701144395184\) \([]\) \(3333120\) \(2.8405\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63426.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 63426.x do not have complex multiplication.

Modular form 63426.2.a.x

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - 2 q^{7} + q^{8} + q^{9} - q^{10} + q^{11} - q^{12} + 2 q^{13} - 2 q^{14} + q^{15} + q^{16} + q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display