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SageMath
E = EllipticCurve("fq1")
E.isogeny_class()
Elliptic curves in class 388080fq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388080.fq1 | 388080fq1 | \([0, 0, 0, -926688, -1109843728]\) | \(-250523582464/1369738755\) | \(-481186528459650478080\) | \([]\) | \(11059200\) | \(2.6526\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080fq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388080fq do not have complex multiplication.Modular form 388080.2.a.fq
sage: E.q_eigenform(10)