Properties

Label 58800.it
Number of curves $1$
Conductor $58800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("it1")
 
E.isogeny_class()
 

Elliptic curves in class 58800.it

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.it1 58800dy1 \([0, 1, 0, 5717, -67012]\) \(358400/243\) \(-14008466430000\) \([]\) \(80640\) \(1.2112\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.it1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58800.it do not have complex multiplication.

Modular form 58800.2.a.it

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