Properties

Label 800f
Number of curves $1$
Conductor $800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 800f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
800.c1 800f1 \([0, -1, 0, -8, -8]\) \(-5000\) \(-12800\) \([]\) \(48\) \(-0.48913\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 800f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 800f do not have complex multiplication.

Modular form 800.2.a.f

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