Properties

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

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Show commands: SageMath
E = EllipticCurve("bw1")
 
E.isogeny_class()
 

Elliptic curves in class 7350.bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7350.bw1 7350br1 \([1, 1, 1, -8, 41]\) \(-6655/96\) \(-823200\) \([]\) \(960\) \(-0.18344\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.bw1 has rank \(1\).

Complex multiplication

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

Modular form 7350.2.a.bw

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