Properties

Label 5577e
Number of curves $1$
Conductor $5577$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 5577e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5577.d1 5577e1 \([0, -1, 1, -275357, 55711424]\) \(-2830523957248/264627\) \(-215864373506067\) \([]\) \(30576\) \(1.7883\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5577e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5577e do not have complex multiplication.

Modular form 5577.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} + 2 q^{5} - 3 q^{7} + q^{9} + q^{11} + 2 q^{12} - 2 q^{15} + 4 q^{16} + 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display