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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 211600.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
211600.r1 | 211600i1 | \([0, 1, 0, -3879333, 2950330963]\) | \(-5451776/23\) | \(-27238603576000000000\) | \([]\) | \(5913600\) | \(2.5839\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 211600.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 211600.r do not have complex multiplication.Modular form 211600.2.a.r
sage: E.q_eigenform(10)