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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 9408.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9408.p1 | 9408by1 | \([0, -1, 0, 159, -1791]\) | \(68782/243\) | \(-1560674304\) | \([]\) | \(3840\) | \(0.44699\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9408.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9408.p do not have complex multiplication.Modular form 9408.2.a.p
sage: E.q_eigenform(10)