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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 167334k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
167334.b1 | 167334k1 | \([1, 1, 0, 15714871, -7618392891]\) | \(19785968032823/12608077824\) | \(-273493939962239627821056\) | \([]\) | \(30788352\) | \(3.1861\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 167334k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 167334k do not have complex multiplication.Modular form 167334.2.a.k
sage: E.q_eigenform(10)