Properties

Label 206400.t
Number of curves $1$
Conductor $206400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 206400.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206400.t1 206400jb1 \([0, -1, 0, 550367, 883871137]\) \(9002230481662/170068359375\) \(-348300000000000000000\) \([]\) \(8110080\) \(2.6220\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206400.t1 has rank \(0\).

Complex multiplication

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

Modular form 206400.2.a.t

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