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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 96330r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96330.u1 | 96330r1 | \([1, 1, 0, -126922, 19074424]\) | \(-277199830921/33334740\) | \(-27192171494547540\) | \([]\) | \(898560\) | \(1.8888\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96330r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96330r do not have complex multiplication.Modular form 96330.2.a.r
sage: E.q_eigenform(10)