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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 1323.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1323.q1 | 1323q1 | \([0, 0, 1, -1029, 12605]\) | \(110592\) | \(1089547389\) | \([]\) | \(1344\) | \(0.55660\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1323.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1323.q do not have complex multiplication.Modular form 1323.2.a.q
sage: E.q_eigenform(10)