Properties

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

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Show commands: SageMath
E = EllipticCurve("eq1")
 
E.isogeny_class()
 

Elliptic curves in class 139650.eq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139650.eq1 139650ds1 \([1, 1, 1, 1454662, 521917031]\) \(185183253170999/171032148000\) \(-314402518438312500000\) \([]\) \(6635520\) \(2.6204\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139650.eq1 has rank \(1\).

Complex multiplication

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

Modular form 139650.2.a.eq

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{8} + q^{9} - 5 q^{11} - q^{12} + 3 q^{13} + q^{16} - 5 q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display