Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 286650u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286650.u1 286650u1 \([1, -1, 0, -1053117, 792921541]\) \(-78683185/119808\) \(-196678868677200000000\) \([]\) \(11289600\) \(2.5856\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286650u1 has rank \(0\).

Complex multiplication

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

Modular form 286650.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 5 q^{11} + q^{13} + q^{16} + 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display