Properties

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

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Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 7350.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7350.bu1 7350bs1 \([1, 1, 1, -751563, -670387719]\) \(-10637008249/37791360\) \(-166798809782010000000\) \([]\) \(282240\) \(2.5662\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7350.bu1 has rank \(1\).

Complex multiplication

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

Modular form 7350.2.a.bu

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