Properties

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

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Show commands: SageMath
E = EllipticCurve("dr1")
 
E.isogeny_class()
 

Elliptic curves in class 58800.dr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.dr1 58800by1 \([0, -1, 0, 117, 162]\) \(358400/243\) \(-119070000\) \([]\) \(11520\) \(0.23827\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.dr1 has rank \(1\).

Complex multiplication

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

Modular form 58800.2.a.dr

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