Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 25410.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25410.q1 25410q1 \([1, 1, 0, -36907, -4080611]\) \(-214358881/151200\) \(-3921738599671200\) \([]\) \(190080\) \(1.6921\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25410.q1 has rank \(1\).

Complex multiplication

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

Modular form 25410.2.a.q

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