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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 201810.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
201810.k1 | 201810cl1 | \([1, 1, 0, 26408, 3706294]\) | \(2294744759/7974750\) | \(-7077619980054750\) | \([]\) | \(1382400\) | \(1.7243\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 201810.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 201810.k do not have complex multiplication.Modular form 201810.2.a.k
sage: E.q_eigenform(10)