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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 349830n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 349830.n1 | 349830n1 | \([1, -1, 0, -5355, -105253979]\) | \(-28561/8048160\) | \(-4785980761092529440\) | \([]\) | \(6988800\) | \(2.2632\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349830n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 349830n do not have complex multiplication.Modular form 349830.2.a.n
sage: E.q_eigenform(10)