Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 103056.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103056.y1 103056g1 \([0, 1, 0, -1289, -23949]\) \(-925932608512/397609371\) \(-101787998976\) \([]\) \(75264\) \(0.81972\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103056.y1 has rank \(0\).

Complex multiplication

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

Modular form 103056.2.a.y

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