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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 191634.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
191634.o1 | 191634k1 | \([1, 1, 1, -1181778, 578691039]\) | \(-38426275968625/8270512128\) | \(-39285794734454734848\) | \([]\) | \(5483520\) | \(2.4809\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 191634.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 191634.o do not have complex multiplication.Modular form 191634.2.a.o
sage: E.q_eigenform(10)