Properties

Label 13872.h
Number of curves $1$
Conductor $13872$
CM no
Rank $1$

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

Elliptic curves in class 13872.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13872.h1 13872a1 \([0, -1, 0, -28, -80]\) \(-34000/27\) \(-1997568\) \([]\) \(1728\) \(-0.092596\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13872.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13872.h do not have complex multiplication.

Modular form 13872.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} + 2 q^{11} - 3 q^{13} - q^{19} + O(q^{20})\) Copy content Toggle raw display