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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 33327.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33327.r1 | 33327k1 | \([0, 0, 1, 2226561, 802933789]\) | \(929714176/750141\) | \(-984965356335814370307\) | \([]\) | \(1854720\) | \(2.7161\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33327.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33327.r do not have complex multiplication.Modular form 33327.2.a.r
sage: E.q_eigenform(10)