Properties

Label 252378x
Number of curves $1$
Conductor $252378$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 252378x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
252378.x1 252378x1 \([1, -1, 1, -173, -1151]\) \(-781229961/392588\) \(-286196652\) \([]\) \(229824\) \(0.32764\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 252378x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 252378x do not have complex multiplication.

Modular form 252378.2.a.x

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 4 q^{5} - q^{7} + q^{8} + 4 q^{10} + 6 q^{11} - 3 q^{13} - q^{14} + q^{16} + 6 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display