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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 66429e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66429.b1 | 66429e1 | \([1, -1, 1, -2201, 42518]\) | \(-912673/61\) | \(-78779546109\) | \([]\) | \(57120\) | \(0.84280\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66429e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66429e do not have complex multiplication.Modular form 66429.2.a.e
sage: E.q_eigenform(10)