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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 259920.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259920.o1 | 259920o1 | \([0, 0, 0, -2860203, 2322059578]\) | \(-102053522/32805\) | \(-831814200674802984960\) | \([]\) | \(9805824\) | \(2.7270\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259920.o1 has rank \(0\).
Complex multiplication
The elliptic curves in class 259920.o do not have complex multiplication.Modular form 259920.2.a.o
sage: E.q_eigenform(10)