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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 2142.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2142.o1 | 2142o1 | \([1, -1, 1, -338, 2553]\) | \(-5841725401/231336\) | \(-168643944\) | \([]\) | \(960\) | \(0.34722\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2142.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2142.o do not have complex multiplication.Modular form 2142.2.a.o
sage: E.q_eigenform(10)