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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 132600.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
132600.i1 | 132600bz1 | \([0, -1, 0, -1833, 89037]\) | \(-1362944/5967\) | \(-2983500000000\) | \([]\) | \(188160\) | \(1.0786\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132600.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 132600.i do not have complex multiplication.Modular form 132600.2.a.i
sage: E.q_eigenform(10)