Properties

Label 286650.q
Number of curves $1$
Conductor $286650$
CM no
Rank $0$

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

Elliptic curves in class 286650.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286650.q1 286650q1 \([1, -1, 0, -34161192, -76847966784]\) \(-9591639636223/843648\) \(-387785169408546000000\) \([]\) \(31610880\) \(2.9916\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 286650.q do not have complex multiplication.

Modular form 286650.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 5 q^{11} + q^{13} + q^{16} - 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display