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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 200277.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200277.k1 | 200277i1 | \([1, -1, 1, -391505, 77613194]\) | \(4515625/847\) | \(1244801641752940887\) | \([]\) | \(2056320\) | \(2.1900\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200277.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 200277.k do not have complex multiplication.Modular form 200277.2.a.k
sage: E.q_eigenform(10)