Properties

Label 334620.bf
Number of curves $1$
Conductor $334620$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 334620.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
334620.bf1 334620bf1 \([0, 0, 0, -273, -1807]\) \(-1141504/55\) \(-108416880\) \([]\) \(110592\) \(0.30398\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 334620.bf1 has rank \(0\).

Complex multiplication

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

Modular form 334620.2.a.bf

sage: E.q_eigenform(10)
 
\(q - q^{5} + 4 q^{7} + q^{11} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display