Properties

Label 5577.c
Number of curves $1$
Conductor $5577$
CM no
Rank $1$

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

Elliptic curves in class 5577.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5577.c1 5577b1 \([0, -1, 1, -1629, 25859]\) \(-2830523957248/264627\) \(-44721963\) \([]\) \(2352\) \(0.50579\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5577.c1 has rank \(1\).

Complex multiplication

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

Modular form 5577.2.a.c

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