Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 58443m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58443.a1 58443m1 \([0, -1, 1, -19642, 29963130]\) \(-473093337088/218558899251\) \(-387190422116000811\) \([]\) \(921600\) \(2.0539\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58443m1 has rank \(2\).

Complex multiplication

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

Modular form 58443.2.a.m

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