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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 120666o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
120666.d1 | 120666o1 | \([1, 1, 0, -372479, -89820219]\) | \(-1184052061112257/34349180544\) | \(-165796933792404096\) | \([]\) | \(1965600\) | \(2.0833\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 120666o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 120666o do not have complex multiplication.Modular form 120666.2.a.o
sage: E.q_eigenform(10)