Properties

Label 103056.j
Number of curves $1$
Conductor $103056$
CM no
Rank $1$

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

Elliptic curves in class 103056.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103056.j1 103056a1 \([0, -1, 0, 2792, -17840]\) \(1174855468750/740206161\) \(-1515942217728\) \([]\) \(132480\) \(1.0263\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103056.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 103056.j do not have complex multiplication.

Modular form 103056.2.a.j

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