Properties

Label 58800.i
Number of curves $1$
Conductor $58800$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 58800.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.i1 58800hn1 \([0, -1, 0, -249958, -48017213]\) \(-805661175040/729\) \(-1562793750000\) \([]\) \(276480\) \(1.6381\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.i1 has rank \(0\).

Complex multiplication

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

Modular form 58800.2.a.i

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