Properties

Label 82800.u
Number of curves $1$
Conductor $82800$
CM no
Rank $0$

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

Elliptic curves in class 82800.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
82800.u1 82800x1 \([0, 0, 0, 1713300, 3796013500]\) \(190737654201344/2245153696875\) \(-6546868180087500000000\) \([]\) \(3686400\) \(2.8670\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 82800.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 82800.u do not have complex multiplication.

Modular form 82800.2.a.u

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