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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 207214j
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 207214.y1 | 207214j1 | \([1, 0, 0, -4566220179870, -3755635152665994556]\) | \(223806478318999562522553252453628201/21314492659614217796583424\) | \(1002759085239583996366145972076544\) | \([]\) | \(3120768000\) | \(5.7669\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207214j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 207214j do not have complex multiplication.Modular form 207214.2.a.j
sage: E.q_eigenform(10)