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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 38720.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38720.q1 | 38720cd1 | \([0, -1, 0, -161, -2495]\) | \(-14641/80\) | \(-2537553920\) | \([]\) | \(18432\) | \(0.48860\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38720.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38720.q do not have complex multiplication.Modular form 38720.2.a.q
sage: E.q_eigenform(10)