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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 297825.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
297825.o1 | 297825o1 | \([1, 1, 1, -496563, -104037594]\) | \(51026761/11979\) | \(3178845338564671875\) | \([]\) | \(5745600\) | \(2.2620\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 297825.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 297825.o do not have complex multiplication.Modular form 297825.2.a.o
sage: E.q_eigenform(10)