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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 28322.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28322.n1 | 28322be1 | \([1, -1, 1, -573, 6885]\) | \(-610929/224\) | \(-7616125664\) | \([]\) | \(34560\) | \(0.60646\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28322.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28322.n do not have complex multiplication.Modular form 28322.2.a.n
sage: E.q_eigenform(10)