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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 443822n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 443822.n1 | 443822n1 | \([1, 0, 0, -7453740, 7700274128]\) | \(2066289730584409/39894271936\) | \(884231050168033975744\) | \([]\) | \(18869760\) | \(2.8121\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 443822n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 443822n do not have complex multiplication.Modular form 443822.2.a.n
sage: E.q_eigenform(10)