Properties

Label 230115j
Number of curves $1$
Conductor $230115$
CM no
Rank $1$

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

Elliptic curves in class 230115j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
230115.j1 230115j1 \([0, -1, 1, -27155, 1722458]\) \(14959673344/90045\) \(13329891625005\) \([]\) \(861696\) \(1.3577\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 230115j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 230115j do not have complex multiplication.

Modular form 230115.2.a.j

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