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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 9802.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9802.d1 | 9802e1 | \([1, -1, 1, -201, 1629]\) | \(-185193/116\) | \(-559909844\) | \([]\) | \(8976\) | \(0.38025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9802.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9802.d do not have complex multiplication.Modular form 9802.2.a.d
sage: E.q_eigenform(10)