Properties

Label 143745.h
Number of curves $1$
Conductor $143745$
CM no
Rank $1$

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

Elliptic curves in class 143745.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
143745.h1 143745j1 \([1, 0, 0, -1153411, 476723846]\) \(-1305751357/105\) \(-13645982678483085\) \([]\) \(1939392\) \(2.1417\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 143745.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 143745.h do not have complex multiplication.

Modular form 143745.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - q^{5} - q^{6} - q^{7} + 3 q^{8} + q^{9} + q^{10} + 3 q^{11} - q^{12} - 4 q^{13} + q^{14} - q^{15} - q^{16} + 5 q^{17} - q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display