Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("7350.cp1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7350.cp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7350.cp1 7350ch1 [1, 0, 0, -15338, 1952292] [] 40320 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.cp1 has rank \(1\).

Modular form 7350.2.a.cp

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