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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 38829d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38829.e1 | 38829d1 | \([0, -1, 1, 12327, -3373]\) | \(32768000/18963\) | \(-119872007498187\) | \([]\) | \(88704\) | \(1.3909\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38829d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38829d do not have complex multiplication.Modular form 38829.2.a.d
sage: E.q_eigenform(10)