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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 9408.cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9408.cj1 | 9408cr1 | \([0, 1, 0, -8003, 274959]\) | \(-3136000/27\) | \(-488117230272\) | \([]\) | \(12096\) | \(1.0678\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9408.cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9408.cj do not have complex multiplication.Modular form 9408.2.a.cj
sage: E.q_eigenform(10)