Properties

Label 127995.j
Number of curves $1$
Conductor $127995$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 127995.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
127995.j1 127995f1 \([0, -1, 1, 8689, 24302]\) \(72540930275311616/42299280867795\) \(-42299280867795\) \([]\) \(315840\) \(1.3041\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 127995.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 127995.j do not have complex multiplication.

Modular form 127995.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - q^{5} + q^{7} + q^{9} + 5 q^{11} + 2 q^{12} + q^{13} + q^{15} + 4 q^{16} + 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display