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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 9800.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.w1 | 9800o1 | \([0, 0, 0, 1225, -25725]\) | \(172800/343\) | \(-403536070000\) | \([]\) | \(6912\) | \(0.91145\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9800.w do not have complex multiplication.Modular form 9800.2.a.w
sage: E.q_eigenform(10)