Properties

Label 265200n
Number of curves $1$
Conductor $265200$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 265200n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
265200.n1 265200n1 \([0, -1, 0, -1708, -26813]\) \(-55136800000/483327\) \(-4833270000\) \([]\) \(177408\) \(0.68250\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 265200n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 265200n do not have complex multiplication.

Modular form 265200.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 2 q^{11} + q^{13} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display