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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 3920.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3920.a1 | 3920y1 | \([0, 0, 0, -5488, 268912]\) | \(-110592/125\) | \(-20661046784000\) | \([]\) | \(13440\) | \(1.2493\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3920.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3920.a do not have complex multiplication.Modular form 3920.2.a.a
sage: E.q_eigenform(10)