Properties

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

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Show commands: SageMath
E = EllipticCurve("gi1")
 
E.isogeny_class()
 

Elliptic curves in class 424830gi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
424830.gi1 424830gi1 \([1, 1, 1, -42341685, -122011391013]\) \(-1231272543361/230400000\) \(-1570928443437238502400000\) \([]\) \(107627520\) \(3.3671\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 424830gi1 has rank \(0\).

Complex multiplication

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

Modular form 424830.2.a.gi

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + q^{8} + q^{9} + q^{10} + 5 q^{11} - q^{12} + 5 q^{13} - q^{15} + q^{16} + q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display