Properties

Label 206400.e
Number of curves $1$
Conductor $206400$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 206400.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206400.e1 206400ds1 \([0, -1, 0, -83, 477]\) \(-40000000/31347\) \(-50155200\) \([]\) \(57600\) \(0.17617\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206400.e1 has rank \(2\).

Complex multiplication

The elliptic curves in class 206400.e do not have complex multiplication.

Modular form 206400.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} - q^{11} - 5 q^{13} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display