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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 4598.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4598.m1 | 4598q1 | \([1, -1, 1, -22408, -1285457]\) | \(-84985354223649/521284\) | \(-7632119044\) | \([]\) | \(8160\) | \(1.0833\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4598.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4598.m do not have complex multiplication.Modular form 4598.2.a.m
sage: E.q_eigenform(10)