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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 27200.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27200.r1 | 27200bx1 | \([0, -1, 0, 86847, 1570657]\) | \(11053587253415/6565418768\) | \(-43027128437964800\) | \([]\) | \(258048\) | \(1.8811\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27200.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 27200.r do not have complex multiplication.Modular form 27200.2.a.r
sage: E.q_eigenform(10)