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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 66654.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66654.q1 | 66654g1 | \([1, -1, 0, -99, -239]\) | \(279841/84\) | \(32393844\) | \([]\) | \(15360\) | \(0.14643\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66654.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66654.q do not have complex multiplication.Modular form 66654.2.a.q
sage: E.q_eigenform(10)