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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 211600.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
211600.w1 | 211600t1 | \([0, 1, 0, -3244533, -6199041437]\) | \(-32768/125\) | \(-14409221291704000000000\) | \([]\) | \(17169408\) | \(2.9374\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 211600.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 211600.w do not have complex multiplication.Modular form 211600.2.a.w
sage: E.q_eigenform(10)