Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("7350.bn1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7350.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7350.bn1 7350bz1 [1, 1, 1, 4752, -508719] [] 29568 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.bn1 has rank \(1\).

Modular form 7350.2.a.bn

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{3} + q^{4} - q^{6} + q^{8} + q^{9} - 5q^{11} - q^{12} - q^{13} + q^{16} + 2q^{17} + q^{18} + 7q^{19} + O(q^{20}) \)