Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("7350.cm1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7350.cm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7350.cm1 7350cy1 [1, 0, 0, -7712013, 8248384017] [] 547200 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.cm1 has rank \(1\).

Modular form 7350.2.a.cm

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