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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 28050.cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28050.cb1 | 28050cg1 | \([1, 1, 1, -1853930838, 30726507816531]\) | \(-45100802713464654722769650329/4293192974400000000000\) | \(-67081140225000000000000000\) | \([]\) | \(16156800\) | \(3.9925\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28050.cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28050.cb do not have complex multiplication.Modular form 28050.2.a.cb
sage: E.q_eigenform(10)