Properties

Label 221067.e
Number of curves $1$
Conductor $221067$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 221067.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
221067.e1 221067e1 \([1, -1, 1, -23, -65172]\) \(-1/1421\) \(-1835175983949\) \([]\) \(285600\) \(1.0321\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 221067.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 221067.e do not have complex multiplication.

Modular form 221067.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - q^{5} - q^{7} + 3 q^{8} + q^{10} + 5 q^{13} + q^{14} - q^{16} - 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display