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SageMath
E = EllipticCurve("o1")
E.isogeny_class()
Elliptic curves in class 4598o
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4598.l1 | 4598o1 | \([1, 1, 1, -272, 2289]\) | \(-18396908233/9961472\) | \(-1205338112\) | \([]\) | \(1824\) | \(0.44630\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4598o1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4598o do not have complex multiplication.Modular form 4598.2.a.o
sage: E.q_eigenform(10)