Properties

Label 4704.i
Number of curves $1$
Conductor $4704$
CM no
Rank $0$

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

Elliptic curves in class 4704.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4704.i1 4704d1 \([0, -1, 0, -32013, 2231685]\) \(-3136000/27\) \(-31239502737408\) \([]\) \(12096\) \(1.4144\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4704.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4704.i do not have complex multiplication.

Modular form 4704.2.a.i

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