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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 1849d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1849.d1 | 1849d1 | \([0, -1, 1, -616, -25561]\) | \(-4096/43\) | \(-271818611107\) | \([]\) | \(3696\) | \(0.87617\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1849d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1849d do not have complex multiplication.Modular form 1849.2.a.d
sage: E.q_eigenform(10)