Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 58443c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58443.j1 58443c1 \([1, 1, 1, -2197, -40072]\) \(9692612875033/135163203\) \(16354747563\) \([]\) \(44160\) \(0.76512\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58443c1 has rank \(2\).

Complex multiplication

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

Modular form 58443.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + 2 q^{5} + q^{6} - q^{7} + 3 q^{8} + q^{9} - 2 q^{10} + q^{12} - 2 q^{13} + q^{14} - 2 q^{15} - q^{16} + 2 q^{17} - q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display