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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 330330q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 330330.q1 | 330330q1 | \([1, 1, 0, -1764769877, 28534419751149]\) | \(-2835609859258810268828281/184548000000\) | \(-39559502770788000000\) | \([]\) | \(139594752\) | \(3.6651\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 330330q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 330330q do not have complex multiplication.Modular form 330330.2.a.q
sage: E.q_eigenform(10)