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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 422370.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422370.o1 | 422370o1 | \([1, -1, 0, -20422305915, 1123329736621925]\) | \(-132568258133697308147912389803/719912960000000000\) | \(-5115386891796480000000000\) | \([]\) | \(646704000\) | \(4.3560\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422370.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 422370.o do not have complex multiplication.Modular form 422370.2.a.o
sage: E.q_eigenform(10)