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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 98736j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98736.i1 | 98736j1 | \([0, -1, 0, -1234724, -13086885]\) | \(501633924352/290107737\) | \(120394360873667806992\) | \([]\) | \(2534400\) | \(2.5426\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98736j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 98736j do not have complex multiplication.Modular form 98736.2.a.j
sage: E.q_eigenform(10)