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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 4598.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4598.s1 | 4598s1 | \([1, -1, 1, -45, -107]\) | \(-81563625/2432\) | \(-294272\) | \([]\) | \(1512\) | \(-0.17239\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4598.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4598.s do not have complex multiplication.Modular form 4598.2.a.s
sage: E.q_eigenform(10)