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SageMath
E = EllipticCurve("eb1")
E.isogeny_class()
Elliptic curves in class 169050.eb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169050.eb1 | 169050gr1 | \([1, 0, 1, 11142574, -9606244252]\) | \(83228502970940543/69854999176704\) | \(-128412043720938264000000\) | \([]\) | \(20528640\) | \(3.1218\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169050.eb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 169050.eb do not have complex multiplication.Modular form 169050.2.a.eb
sage: E.q_eigenform(10)