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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 271950.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.k1 | 271950k1 | \([1, 1, 0, -2088650, -1316515500]\) | \(-548166867106321/89547696000\) | \(-164612451354750000000\) | \([]\) | \(11612160\) | \(2.6067\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 271950.k do not have complex multiplication.Modular form 271950.2.a.k
sage: E.q_eigenform(10)