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

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Show commands for: SageMath
sage: E = EllipticCurve("s1")
sage: E.isogeny_class()

Elliptic curves in class 221067.s

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
221067.s1 221067u1 \([0, 0, 1, -292512, -45783752]\) \(31379200581566464/7893440560341\) \(696272498387119269\) \([]\) \(2196480\) \(2.1336\) \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 221067.s1 has rank \(0\).

Complex multiplication

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

Modular form 221067.2.a.s

sage: E.q_eigenform(10)
\(q - 2q^{4} + q^{5} - q^{7} + 4q^{16} + 3q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display