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SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 9408.dc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9408.dc1 | 9408dc1 | \([0, 1, 0, -289, -2017]\) | \(-1668296/27\) | \(-43352064\) | \([]\) | \(3456\) | \(0.26580\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9408.dc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9408.dc do not have complex multiplication.Modular form 9408.2.a.dc
sage: E.q_eigenform(10)