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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 3822.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3822.n1 | 3822l1 | \([1, 0, 1, -5318, 150770]\) | \(-141339344329/2167074\) | \(-254954089026\) | \([]\) | \(5760\) | \(0.99113\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3822.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3822.n do not have complex multiplication.Modular form 3822.2.a.n
sage: E.q_eigenform(10)