Properties

Label 7350.bj
Number of curves $1$
Conductor $7350$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 7350.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7350.bj1 7350y1 \([1, 0, 1, -1496, 26408]\) \(-125768785/30618\) \(-90054427050\) \([]\) \(8064\) \(0.82040\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.bj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7350.bj do not have complex multiplication.

Modular form 7350.2.a.bj

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{8} + q^{9} + 2 q^{11} + q^{12} + q^{13} + q^{16} - q^{17} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display