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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 32200.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32200.o1 | 32200l1 | \([0, 1, 0, -86833, 24490963]\) | \(-144814859264/435654247\) | \(-217827123500000000\) | \([]\) | \(259840\) | \(2.0137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32200.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32200.o do not have complex multiplication.Modular form 32200.2.a.o
sage: E.q_eigenform(10)