Properties

Label 13800h
Number of curves $1$
Conductor $13800$
CM no
Rank $2$

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

Elliptic curves in class 13800h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13800.a1 13800h1 \([0, -1, 0, -5033, 139437]\) \(-3525581824/9315\) \(-37260000000\) \([]\) \(18432\) \(0.90347\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13800h1 has rank \(2\).

Complex multiplication

The elliptic curves in class 13800h do not have complex multiplication.

Modular form 13800.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} - 6 q^{11} + 2 q^{13} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display