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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 273273.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273273.j1 | 273273j1 | \([1, 1, 1, -38353624, -91287904492]\) | \(2082918901/3993\) | \(11961065843427715875861\) | \([]\) | \(30506112\) | \(3.1256\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273273.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 273273.j do not have complex multiplication.Modular form 273273.2.a.j
sage: E.q_eigenform(10)