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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 4598.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4598.e1 | 4598b1 | \([1, -1, 0, -45337, -3704277]\) | \(-48077951625/38\) | \(-8145637478\) | \([]\) | \(7128\) | \(1.2081\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4598.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4598.e do not have complex multiplication.Modular form 4598.2.a.e
sage: E.q_eigenform(10)