Properties

Label 25410i
Number of curves $1$
Conductor $25410$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 25410i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25410.i1 25410i1 \([1, 1, 0, 1692, -22392]\) \(2496791/2520\) \(-540184380120\) \([]\) \(44352\) \(0.93815\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25410i1 has rank \(1\).

Complex multiplication

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

Modular form 25410.2.a.i

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