Properties

Label 338130.bx
Number of curves $1$
Conductor $338130$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bx1")
 
E.isogeny_class()
 

Elliptic curves in class 338130.bx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338130.bx1 338130bx1 \([1, -1, 0, -2418219, 1448014725]\) \(-7423100311456129681/239616000\) \(-50482538496000\) \([]\) \(4838400\) \(2.1312\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130.bx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 338130.bx do not have complex multiplication.

Modular form 338130.2.a.bx

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