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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 33810.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33810.n1 | 33810n1 | \([1, 1, 0, 52, -48]\) | \(307908839/220800\) | \(-10819200\) | \([]\) | \(8064\) | \(0.038137\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33810.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33810.n do not have complex multiplication.Modular form 33810.2.a.n
sage: E.q_eigenform(10)