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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 206400.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.q1 | 206400cu1 | \([0, -1, 0, 1371167, 56785537]\) | \(556832393083/325005696\) | \(-166402916352000000000\) | \([]\) | \(6451200\) | \(2.5695\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206400.q do not have complex multiplication.Modular form 206400.2.a.q
sage: E.q_eigenform(10)