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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 31939.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31939.d1 | 31939a1 | \([0, 1, 1, -45947, -5379029]\) | \(-32768/19\) | \(-6220256753485259\) | \([]\) | \(114800\) | \(1.7333\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31939.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 31939.d do not have complex multiplication.Modular form 31939.2.a.d
sage: E.q_eigenform(10)