Properties

Label 25410.b
Number of curves $1$
Conductor $25410$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 25410.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25410.b1 25410e1 \([1, 1, 0, 1692, -110238]\) \(2496791/26250\) \(-5626920626250\) \([]\) \(59136\) \(1.1276\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25410.b1 has rank \(0\).

Complex multiplication

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

Modular form 25410.2.a.b

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