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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 10143.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10143.k1 | 10143g1 | \([0, 0, 1, 2940, -613125]\) | \(1605632000/93710763\) | \(-164024666091027\) | \([]\) | \(16896\) | \(1.4072\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10143.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10143.k do not have complex multiplication.Modular form 10143.2.a.k
sage: E.q_eigenform(10)