Properties

Label 59976.bg
Number of curves $1$
Conductor $59976$
CM no
Rank $1$

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

Elliptic curves in class 59976.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59976.bg1 59976m1 \([0, 0, 0, -819, 22302]\) \(-1660932/4913\) \(-179709207552\) \([]\) \(64512\) \(0.84643\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59976.bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 59976.bg do not have complex multiplication.

Modular form 59976.2.a.bg

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} - 5 q^{11} + 7 q^{13} - q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display