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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 121968.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121968.o1 | 121968gh1 | \([0, 0, 0, -511104, 122925836]\) | \(369098752/50421\) | \(2017067489858260224\) | \([]\) | \(2027520\) | \(2.2393\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121968.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121968.o do not have complex multiplication.Modular form 121968.2.a.o
sage: E.q_eigenform(10)