Properties

Label 3168.i
Number of curves $1$
Conductor $3168$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 3168.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3168.i1 3168l1 \([0, 0, 0, 72, 3024]\) \(13824/1331\) \(-3974344704\) \([]\) \(1344\) \(0.52137\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3168.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3168.i do not have complex multiplication.

Modular form 3168.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{11} - 6 q^{13} + 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display