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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 350658.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350658.k1 | 350658k1 | \([1, -1, 0, -26703, 1834861]\) | \(-197294400193/21102592\) | \(-225234063065088\) | \([]\) | \(1253376\) | \(1.4925\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350658.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350658.k do not have complex multiplication.Modular form 350658.2.a.k
sage: E.q_eigenform(10)