Properties

Label 103056q
Number of curves $1$
Conductor $103056$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 103056q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
103056.a1 103056q1 \([0, -1, 0, -2640, 40896]\) \(496981290961/118720512\) \(486279217152\) \([]\) \(278784\) \(0.95379\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 103056q1 has rank \(1\).

Complex multiplication

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

Modular form 103056.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} - 3 q^{7} + q^{9} + 5 q^{11} - 6 q^{13} + 4 q^{15} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display