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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 9408.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9408.s1 | 9408bn1 | \([0, -1, 0, -163, -755]\) | \(-3136000/27\) | \(-4148928\) | \([]\) | \(1728\) | \(0.094856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9408.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9408.s do not have complex multiplication.Modular form 9408.2.a.s
sage: E.q_eigenform(10)