Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("bg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 64400bg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
64400.c1 64400bg1 \([0, 0, 0, -325, -4625]\) \(-15185664/28175\) \(-7043750000\) \([]\) \(82944\) \(0.57958\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 64400bg1 has rank \(0\).

Complex multiplication

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

Modular form 64400.2.a.bg

sage: E.q_eigenform(10)
 
\(q - 3q^{3} - q^{7} + 6q^{9} + 6q^{11} + 5q^{13} + 2q^{17} + 2q^{19} + O(q^{20})\)  Toggle raw display