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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 123627.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
123627.o1 | 123627d1 | \([1, 1, 0, -858, -7461]\) | \(707281/189\) | \(18700190901\) | \([]\) | \(69120\) | \(0.67931\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 123627.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 123627.o do not have complex multiplication.Modular form 123627.2.a.o
sage: E.q_eigenform(10)