Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 25410.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25410.p1 25410l1 \([1, 1, 0, -43232, 3462144]\) \(-73853319448242961/501854330880\) \(-60724374036480\) \([]\) \(112320\) \(1.4794\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25410.p1 has rank \(1\).

Complex multiplication

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

Modular form 25410.2.a.p

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