Properties

Label 816.j
Number of curves $1$
Conductor $816$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 816.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
816.j1 816d1 \([0, 1, 0, 511, 1899]\) \(57530252288/38336139\) \(-9814051584\) \([]\) \(480\) \(0.60601\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 816.j1 has rank \(0\).

Complex multiplication

The elliptic curves in class 816.j do not have complex multiplication.

Modular form 816.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{5} + q^{9} + q^{11} + 3 q^{13} + 3 q^{15} - q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display