Properties

Label 58870g
Number of curves $1$
Conductor $58870$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 58870g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58870.h1 58870g1 \([1, -1, 0, -2352014, -1387826702]\) \(-2876467955481/85750\) \(-42896129911405750\) \([]\) \(1127520\) \(2.2904\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58870g1 has rank \(1\).

Complex multiplication

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

Modular form 58870.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{7} - q^{8} - 3 q^{9} - q^{10} + 2 q^{11} + q^{14} + q^{16} + 5 q^{17} + 3 q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display