Properties

Label 704.d
Number of curves $1$
Conductor $704$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 704.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
704.d1 704g1 \([0, -1, 0, -11, -11]\) \(-2515456/11\) \(-704\) \([]\) \(32\) \(-0.60050\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 704.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 704.d do not have complex multiplication.

Modular form 704.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 4 q^{7} - 2 q^{9} - q^{11} + 2 q^{13} + q^{15} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display