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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 19890.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19890.o1 | 19890q1 | \([1, -1, 0, -2169, -39987]\) | \(-1548415333009/77332320\) | \(-56375261280\) | \([]\) | \(17920\) | \(0.82398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19890.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19890.o do not have complex multiplication.Modular form 19890.2.a.o
sage: E.q_eigenform(10)