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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 204624.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
204624.d1 | 204624dd1 | \([0, 0, 0, 1323, -46305]\) | \(6912/29\) | \(-1074477963888\) | \([]\) | \(435456\) | \(0.99116\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 204624.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 204624.d do not have complex multiplication.Modular form 204624.2.a.d
sage: E.q_eigenform(10)