Properties

Label 229320.bg
Number of curves $1$
Conductor $229320$
CM no
Rank $1$

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

Elliptic curves in class 229320.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.bg1 229320bk1 \([0, 0, 0, -439383, -114724582]\) \(-177953104/4875\) \(-256993721738208000\) \([]\) \(2386944\) \(2.1219\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 229320.bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 229320.bg do not have complex multiplication.

Modular form 229320.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{11} + q^{13} + 3 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display