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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 100016o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100016.c1 | 100016o1 | \([0, -1, 0, -1745392, -887388736]\) | \(-143563142482697477233/80708360371856\) | \(-330581444083122176\) | \([]\) | \(1462272\) | \(2.3087\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100016o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100016o do not have complex multiplication.Modular form 100016.2.a.o
sage: E.q_eigenform(10)