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SageMath
E = EllipticCurve("jk1")
E.isogeny_class()
Elliptic curves in class 227850jk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227850.n1 | 227850jk1 | \([1, 1, 0, -18400, -17648000]\) | \(-7649089/1488000\) | \(-134031623250000000\) | \([]\) | \(3386880\) | \(1.9657\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227850jk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 227850jk do not have complex multiplication.Modular form 227850.2.a.jk
sage: E.q_eigenform(10)