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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 71148y
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 71148.bd1 | 71148y1 | \([0, -1, 0, -221349, 40144161]\) | \(7929856/3\) | \(453747578946816\) | \([]\) | \(451584\) | \(1.7788\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71148y do not have complex multiplication.Modular form 71148.2.a.y
sage: E.q_eigenform(10)