Properties

Label 6400.b
Number of curves $1$
Conductor $6400$
CM no
Rank $2$

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

Elliptic curves in class 6400.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6400.b1 6400q1 \([0, -1, 0, -3, 7]\) \(-320\) \(-12800\) \([]\) \(384\) \(-0.52532\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6400.b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 6400.b do not have complex multiplication.

Modular form 6400.2.a.b

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