Properties

Label 141610.h
Number of curves $1$
Conductor $141610$
CM no
Rank $1$

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

Elliptic curves in class 141610.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141610.h1 141610bp1 \([1, 0, 1, 2, 18]\) \(119/10\) \(-141610\) \([]\) \(20304\) \(-0.33211\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141610.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 141610.h do not have complex multiplication.

Modular form 141610.2.a.h

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