Properties

Label 139230.h
Number of curves $1$
Conductor $139230$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 139230.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
139230.h1 139230dw1 \([1, -1, 0, 14895, -7925]\) \(501304156481519/290117031750\) \(-211495316145750\) \([]\) \(494592\) \(1.4382\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 139230.h1 has rank \(1\).

Complex multiplication

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

Modular form 139230.2.a.h

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