Properties

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

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 7350.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7350.x1 7350bb1 \([1, 0, 1, -2710951, -6302911702]\) \(-5591213575/40310784\) \(-15885600931620000000000\) \([]\) \(665280\) \(2.9431\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.x1 has rank \(1\).

Complex multiplication

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

Modular form 7350.2.a.x

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