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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 106470y
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 106470.i1 | 106470y1 | \([1, -1, 0, -1566422415, 23562917106925]\) | \(714785992034201184721/10326220800000000\) | \(6140669927485724467200000000\) | \([]\) | \(106229760\) | \(4.1360\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106470y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106470y do not have complex multiplication.Modular form 106470.2.a.y
sage: E.q_eigenform(10)