Properties

Label 424830eh
Number of curves $1$
Conductor $424830$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("eh1")
 
E.isogeny_class()
 

Elliptic curves in class 424830eh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
424830.eh1 424830eh1 \([1, 0, 1, -169573, -26893744]\) \(-2239996279676393/248832000\) \(-59903069184000\) \([]\) \(2695680\) \(1.6724\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 424830eh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 424830eh do not have complex multiplication.

Modular form 424830.2.a.eh

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