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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 443822.o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
443822.o1 | 443822o1 | \([1, 0, 0, -9890, 355688]\) | \(4826809/316\) | \(7003938116764\) | \([]\) | \(1211392\) | \(1.2146\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443822.o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 443822.o do not have complex multiplication.Modular form 443822.2.a.o
sage: E.q_eigenform(10)