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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 138600.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
138600.o1 | 138600dc1 | \([0, 0, 0, -11221500, 14468532500]\) | \(2143625552081920/693\) | \(50519700000000\) | \([]\) | \(2795520\) | \(2.4277\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 138600.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 138600.o do not have complex multiplication.Modular form 138600.2.a.o
sage: E.q_eigenform(10)