Properties

Label 286110.y
Number of curves $1$
Conductor $286110$
CM no
Rank $0$

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

Elliptic curves in class 286110.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286110.y1 286110y1 \([1, -1, 0, -318360868065, -69208434591226115]\) \(-41277646935900297340058753/47558012065032437760\) \(-4111416869022748040147273389178880\) \([]\) \(2417135616\) \(5.3628\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286110.y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 286110.y do not have complex multiplication.

Modular form 286110.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} - q^{11} - 3 q^{13} - q^{14} + q^{16} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display