Properties

Label 79350.bg
Number of curves $1$
Conductor $79350$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bg1")
 
E.isogeny_class()
 

Elliptic curves in class 79350.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79350.bg1 79350bt1 \([1, 0, 1, -145751, 69081698]\) \(-13225/72\) \(-1864193004614205000\) \([]\) \(1112832\) \(2.1899\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79350.bg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 79350.bg do not have complex multiplication.

Modular form 79350.2.a.bg

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