Properties

Label 139230em
Number of curves $1$
Conductor $139230$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("em1")
 
E.isogeny_class()
 

Elliptic curves in class 139230em

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139230.n1 139230em1 \([1, -1, 0, 4305, -45675]\) \(326755320842133/220919335000\) \(-5964822045000\) \([]\) \(268800\) \(1.1401\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139230em1 has rank \(1\).

Complex multiplication

The elliptic curves in class 139230em do not have complex multiplication.

Modular form 139230.2.a.em

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} - 2 q^{11} - q^{13} - q^{14} + q^{16} + q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display