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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 36414w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.bm1 | 36414w1 | \([1, -1, 0, 16317, -346923]\) | \(2280364702703/1560674304\) | \(-328804423041024\) | \([]\) | \(195840\) | \(1.4742\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36414w do not have complex multiplication.Modular form 36414.2.a.w
sage: E.q_eigenform(10)