Properties

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

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Show commands: SageMath
E = EllipticCurve("bs1")
 
E.isogeny_class()
 

Elliptic curves in class 7350.bs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7350.bs1 7350bw1 \([1, 1, 1, -288, 321]\) \(2157045625/1179648\) \(1445068800\) \([]\) \(4896\) \(0.44837\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.bs1 has rank \(1\).

Complex multiplication

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

Modular form 7350.2.a.bs

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