Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 58800.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.r1 58800l1 \([0, -1, 0, -1633, 48637]\) \(-50176/75\) \(-720300000000\) \([]\) \(92160\) \(0.96698\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.r1 has rank \(1\).

Complex multiplication

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

Modular form 58800.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 4q^{11} + 5q^{13} - 6q^{17} + 5q^{19} + O(q^{20})\)  Toggle raw display