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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 414736.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
414736.o1 | 414736o1 | \([0, -1, 0, 14507120, -9781132864]\) | \(8947391/6272\) | \(-236688373846583059939328\) | \([]\) | \(53415936\) | \(3.1736\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 414736.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 414736.o do not have complex multiplication.Modular form 414736.2.a.o
sage: E.q_eigenform(10)