Properties

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

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Show commands: SageMath
E = EllipticCurve("ea1")
 
E.isogeny_class()
 

Elliptic curves in class 58800.ea

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.ea1 58800cf1 \([0, -1, 0, -34708, 2687287]\) \(-6288640/567\) \(-416918643750000\) \([]\) \(184320\) \(1.5485\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.ea1 has rank \(1\).

Complex multiplication

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

Modular form 58800.2.a.ea

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