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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 110400.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110400.w1 | 110400o1 | \([0, -1, 0, -843073, -297963263]\) | \(-80896517556407240/91930287069\) | \(-75309291166924800\) | \([]\) | \(1225728\) | \(2.1519\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110400.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 110400.w do not have complex multiplication.Modular form 110400.2.a.w
sage: E.q_eigenform(10)