Properties

Label 480960eo
Number of curves $1$
Conductor $480960$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("eo1")
 
E.isogeny_class()
 

Elliptic curves in class 480960eo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
480960.eo1 480960eo1 \([0, 0, 0, 23028, -996336]\) \(190804533093/171008000\) \(-1210375471104000\) \([]\) \(1916928\) \(1.5815\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 480960eo1 has rank \(1\).

Complex multiplication

The elliptic curves in class 480960eo do not have complex multiplication.

Modular form 480960.2.a.eo

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} - 4 q^{13} + 8 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display