Properties

Label 58870.o
Number of curves $1$
Conductor $58870$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 58870.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58870.o1 58870v1 \([1, 0, 0, -235, 30897]\) \(-1707052201/490000000\) \(-412090000000\) \([]\) \(94080\) \(0.90791\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58870.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58870.o do not have complex multiplication.

Modular form 58870.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{2} - 2 q^{3} + q^{4} + q^{5} - 2 q^{6} - q^{7} + q^{8} + q^{9} + q^{10} + q^{11} - 2 q^{12} + q^{13} - q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display