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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 132600q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
132600.e1 | 132600q1 | \([0, -1, 0, -499408, -282171188]\) | \(-430468214044178/827032912875\) | \(-26465053212000000000\) | \([]\) | \(3649536\) | \(2.4166\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132600q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 132600q do not have complex multiplication.Modular form 132600.2.a.q
sage: E.q_eigenform(10)