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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 221760.n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 221760.n1 | 221760lx1 | \([0, 0, 0, -63439248, -231262063072]\) | \(-2364015519613191629824/566330060131171875\) | \(-6764209993082868480000000\) | \([]\) | \(39567360\) | \(3.4832\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221760.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 221760.n do not have complex multiplication.Modular form 221760.2.a.n
sage: E.q_eigenform(10)