Properties

Label 5775t
Number of curves $1$
Conductor $5775$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 5775t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5775.a1 5775t1 \([0, 1, 1, 207342, 36004844]\) \(63090423356788736/72214645051395\) \(-1128353828928046875\) \([]\) \(104832\) \(2.1503\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5775t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5775t do not have complex multiplication.

Modular form 5775.2.a.t

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} - 2 q^{6} + q^{7} + q^{9} - q^{11} + 2 q^{12} + 2 q^{13} - 2 q^{14} - 4 q^{16} + 3 q^{17} - 2 q^{18} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display