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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 159120.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159120.k1 | 159120ds1 | \([0, 0, 0, -4143, 106693]\) | \(-674250071296/31416255\) | \(-366439198320\) | \([]\) | \(215040\) | \(0.98219\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159120.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159120.k do not have complex multiplication.Modular form 159120.2.a.k
sage: E.q_eigenform(10)