Properties

Label 25872j
Number of curves $1$
Conductor $25872$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 25872j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25872.ba1 25872j1 \([0, -1, 0, -11580, -476937]\) \(-91238612224/251559\) \(-473530636656\) \([]\) \(27648\) \(1.1134\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25872j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25872j do not have complex multiplication.

Modular form 25872.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} + q^{11} + 3 q^{13} - q^{15} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display