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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 361920o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
361920.o1 | 361920o1 | \([0, -1, 0, 55999, -8055999]\) | \(74082708125999/149327343750\) | \(-39145267200000000\) | \([]\) | \(2875392\) | \(1.8683\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 361920o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 361920o do not have complex multiplication.Modular form 361920.2.a.o
sage: E.q_eigenform(10)