Properties

Label 7350.j
Number of curves 1
Conductor 7350
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("7350.j1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7350.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7350.j1 7350a1 [1, 1, 0, -44125, -3627875] [] 40320 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.j1 has rank \(1\).

Modular form 7350.2.a.j

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