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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 39883.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39883.a1 | 39883a1 | \([0, 1, 1, -14, 18]\) | \(-325660672/39883\) | \(-39883\) | \([]\) | \(6200\) | \(-0.38237\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39883.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 39883.a do not have complex multiplication.Modular form 39883.2.a.a
sage: E.q_eigenform(10)