Properties

Label 25350.p
Number of curves $1$
Conductor $25350$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 25350.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25350.p1 25350p1 \([1, 1, 0, -3487825, 2507807125]\) \(-2488672890625/2426112\) \(-4574366889300000000\) \([]\) \(967680\) \(2.5013\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25350.p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 25350.p do not have complex multiplication.

Modular form 25350.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} + q^{9} + 5 q^{11} - q^{12} - q^{14} + q^{16} + 5 q^{17} - q^{18} + O(q^{20})\) Copy content Toggle raw display