Properties

Label 8400.h
Number of curves $1$
Conductor $8400$
CM no
Rank $0$

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

Elliptic curves in class 8400.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8400.h1 8400bg1 \([0, -1, 0, 1042, 5787]\) \(800000/567\) \(-88593750000\) \([]\) \(5760\) \(0.78907\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8400.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8400.h do not have complex multiplication.

Modular form 8400.2.a.h

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