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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 156702.k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 156702.k1 | 156702cu1 | \([1, 1, 0, -1858497, -974478987]\) | \(6034224034719280009/10659567050496\) | \(1254087403923803904\) | \([]\) | \(4153344\) | \(2.3658\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 156702.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 156702.k do not have complex multiplication.Modular form 156702.2.a.k
sage: E.q_eigenform(10)