Properties

Label 25872.r
Number of curves $1$
Conductor $25872$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 25872.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25872.r1 25872bt1 \([0, -1, 0, -20008, -1122512]\) \(-765625/33\) \(-38181614456832\) \([]\) \(64512\) \(1.3719\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25872.r1 has rank \(0\).

Complex multiplication

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

Modular form 25872.2.a.r

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