Properties

Label 21160h
Number of curves $1$
Conductor $21160$
CM no
Rank $0$

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

Elliptic curves in class 21160h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21160.g1 21160h1 \([0, 1, 0, 1940, -44867]\) \(340736/575\) \(-1361930178800\) \([]\) \(16896\) \(1.0133\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21160h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 21160h do not have complex multiplication.

Modular form 21160.2.a.h

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