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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 9282w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9282.s1 | 9282w1 | \([1, 0, 0, -11155, -458029]\) | \(-153509362902771121/1425589419618\) | \(-1425589419618\) | \([]\) | \(31824\) | \(1.1541\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9282w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9282w do not have complex multiplication.Modular form 9282.2.a.w
sage: E.q_eigenform(10)