Properties

Label 800.g
Number of curves $1$
Conductor $800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 800.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
800.g1 800b1 \([0, 1, 0, -8, 8]\) \(-5000\) \(-12800\) \([]\) \(48\) \(-0.48913\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 800.g1 has rank \(1\).

Complex multiplication

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

Modular form 800.2.a.g

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