Properties

Label 103056.x
Number of curves $1$
Conductor $103056$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 103056.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103056.x1 103056bf1 \([0, 1, 0, -104, 180]\) \(30664297/12882\) \(52764672\) \([]\) \(23808\) \(0.17872\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103056.x1 has rank \(0\).

Complex multiplication

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

Modular form 103056.2.a.x

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{5} + q^{7} + q^{9} - 3 q^{11} + 6 q^{13} - 2 q^{15} + 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display