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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 22800.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22800.r1 | 22800cb1 | \([0, -1, 0, 184792, -21371088]\) | \(17446602575/15000633\) | \(-600025320000000000\) | \([]\) | \(322560\) | \(2.0989\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22800.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22800.r do not have complex multiplication.Modular form 22800.2.a.r
sage: E.q_eigenform(10)