Properties

Label 920.c
Number of curves $1$
Conductor $920$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 920.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
920.c1 920a1 \([0, 0, 0, 1468, -2844]\) \(1366664500224/804542875\) \(-205962976000\) \([]\) \(720\) \(0.86029\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 920.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 920.c do not have complex multiplication.

Modular form 920.2.a.c

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