Properties

Label 64400.by
Number of curves $1$
Conductor $64400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("by1")
 
E.isogeny_class()
 

Elliptic curves in class 64400.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
64400.by1 64400bx1 \([0, 1, 0, -385208, -221706412]\) \(-158034076225/438790688\) \(-17551627520000000000\) \([]\) \(1152000\) \(2.3799\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 64400.by1 has rank \(0\).

Complex multiplication

The elliptic curves in class 64400.by do not have complex multiplication.

Modular form 64400.2.a.by

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