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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 206310.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206310.o1 | 206310cf1 | \([1, 1, 0, -23092712, -54157540146]\) | \(-32875335928249/11550093750\) | \(-478480088253072229593750\) | \([]\) | \(33384960\) | \(3.2549\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206310.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206310.o do not have complex multiplication.Modular form 206310.2.a.o
sage: E.q_eigenform(10)