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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 6936.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6936.d1 | 6936k1 | \([0, -1, 0, -8188, 441988]\) | \(-34000/27\) | \(-48216435432192\) | \([]\) | \(14688\) | \(1.3240\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6936.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6936.d do not have complex multiplication.Modular form 6936.2.a.d
sage: E.q_eigenform(10)