Properties

Label 7350.ca
Number of curves $1$
Conductor $7350$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ca1")
 
E.isogeny_class()
 

Elliptic curves in class 7350.ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7350.ca1 7350cb1 \([1, 1, 1, -37388, 3301031]\) \(-125768785/30618\) \(-1407100422656250\) \([]\) \(40320\) \(1.6251\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.ca1 has rank \(0\).

Complex multiplication

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

Modular form 7350.2.a.ca

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