Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 206400.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206400.m1 206400ct1 \([0, -1, 0, -25833, -1625463]\) \(-1191640000/31347\) \(-50155200000000\) \([]\) \(921600\) \(1.4115\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206400.m1 has rank \(1\).

Complex multiplication

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

Modular form 206400.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} + 3 q^{11} - q^{13} + 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display