Properties

Label 58443.p
Number of curves $1$
Conductor $58443$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 58443.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58443.p1 58443j1 \([1, 1, 0, -35, -18]\) \(40962625/23667\) \(2863707\) \([]\) \(8064\) \(-0.071527\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58443.p1 has rank \(2\).

Complex multiplication

The elliptic curves in class 58443.p do not have complex multiplication.

Modular form 58443.2.a.p

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} - q^{6} + q^{7} - 3 q^{8} + q^{9} + q^{12} - 2 q^{13} + q^{14} - q^{16} - 6 q^{17} + q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display