Properties

Label 139650.eb
Number of curves $1$
Conductor $139650$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("eb1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 139650.eb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.eb1 139650fx1 \([1, 0, 1, -1251, -321002]\) \(-60025/12312\) \(-44360143695000\) \([]\) \(435456\) \(1.2979\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139650.eb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 139650.eb do not have complex multiplication.

Modular form 139650.2.a.eb

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{8} + q^{9} + 4 q^{11} + q^{12} + q^{13} + q^{16} - 2 q^{17} - q^{18} + q^{19} + O(q^{20})\)  Toggle raw display