Properties

Label 119952.bf
Number of curves $1$
Conductor $119952$
CM no
Rank $0$

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

Elliptic curves in class 119952.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.bf1 119952fh1 \([0, 0, 0, -10782891, -49124474406]\) \(-164384733177/1140850688\) \(-962269421150244603691008\) \([]\) \(14676480\) \(3.2852\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 119952.bf do not have complex multiplication.

Modular form 119952.2.a.bf

sage: E.q_eigenform(10)
 
\(q - 2q^{5} - 5q^{11} + 3q^{13} - q^{17} - 2q^{19} + O(q^{20})\)  Toggle raw display