Properties

Label 58800ch
Number of curves $1$
Conductor $58800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ch1")
 
E.isogeny_class()
 

Elliptic curves in class 58800ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.er1 58800ch1 \([0, -1, 0, 292, -60213]\) \(1280/729\) \(-1562793750000\) \([]\) \(92160\) \(1.0189\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800ch1 has rank \(1\).

Complex multiplication

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

Modular form 58800.2.a.ch

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + 5 q^{11} - 2 q^{13} + 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display