Properties

Label 6896.i
Number of curves $1$
Conductor $6896$
CM no
Rank $0$

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

Elliptic curves in class 6896.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6896.i1 6896c1 \([0, 1, 0, -52, -164]\) \(-61918288/431\) \(-110336\) \([]\) \(704\) \(-0.19876\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6896.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6896.i do not have complex multiplication.

Modular form 6896.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{5} + 2 q^{7} - 2 q^{9} + 3 q^{11} - 3 q^{15} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display