Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 206400.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206400.b1 206400dp1 \([0, -1, 0, -1033, 13417]\) \(-1191640000/31347\) \(-3209932800\) \([]\) \(184320\) \(0.60678\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206400.b1 has rank \(2\).

Complex multiplication

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

Modular form 206400.2.a.b

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