Properties

Label 25200ce
Number of curves $1$
Conductor $25200$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ce1")
 
E.isogeny_class()
 

Elliptic curves in class 25200ce

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25200.ey1 25200ce1 \([0, 0, 0, -6375, -464375]\) \(-6288640/16807\) \(-76576893750000\) \([]\) \(57600\) \(1.3516\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25200ce1 has rank \(0\).

Complex multiplication

The elliptic curves in class 25200ce do not have complex multiplication.

Modular form 25200.2.a.ce

sage: E.q_eigenform(10)
 
\(q + q^{7} + q^{11} + 4 q^{13} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display