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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 29232.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29232.d1 | 29232be1 | \([0, 0, 0, -1371, -39926]\) | \(-95443993/175392\) | \(-523717705728\) | \([]\) | \(23040\) | \(0.93872\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29232.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 29232.d do not have complex multiplication.Modular form 29232.2.a.d
sage: E.q_eigenform(10)