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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 3920.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3920.o1 | 3920f1 | \([0, -1, 0, -121, -475]\) | \(-2249728/5\) | \(-439040\) | \([]\) | \(768\) | \(-0.034557\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3920.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3920.o do not have complex multiplication.Modular form 3920.2.a.o
sage: E.q_eigenform(10)