Properties

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

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 7350.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7350.ba1 7350x1 \([1, 0, 1, -901, 10448]\) \(-105484561/1440\) \(-1102500000\) \([]\) \(5760\) \(0.54194\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.ba1 has rank \(1\).

Complex multiplication

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

Modular form 7350.2.a.ba

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