Properties

Label 25410.l
Number of curves $1$
Conductor $25410$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 25410.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25410.l1 25410o1 \([1, 1, 0, -156697, 37222981]\) \(-1985037003961/1653372000\) \(-354414971796732000\) \([]\) \(475200\) \(2.0653\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25410.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25410.l do not have complex multiplication.

Modular form 25410.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - q^{7} - q^{8} + q^{9} - q^{10} - q^{12} - 2 q^{13} + q^{14} - q^{15} + q^{16} + 5 q^{17} - q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display