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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 273273m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273273.m1 | 273273m1 | \([1, 0, 0, -782727, 266033676]\) | \(2082918901/3993\) | \(101667382157329989\) | \([]\) | \(4358016\) | \(2.1527\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273273m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 273273m do not have complex multiplication.Modular form 273273.2.a.m
sage: E.q_eigenform(10)