Properties

Label 334620.bg
Number of curves $1$
Conductor $334620$
CM no
Rank $1$

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

Elliptic curves in class 334620.bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
334620.bg1 334620bg1 \([0, 0, 0, -135408, -24704732]\) \(-8705675689984/3321676875\) \(-104763881645280000\) \([]\) \(4423680\) \(1.9755\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 334620.bg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 334620.bg do not have complex multiplication.

Modular form 334620.2.a.bg

sage: E.q_eigenform(10)
 
\(q - q^{5} + 5 q^{7} - q^{11} + 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display