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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 268770cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
268770.cb1 | 268770cb1 | \([1, 0, 0, -6661745, 6651911025]\) | \(-1354547383894636849/8173828125000\) | \(-197296340361328125000\) | \([]\) | \(23063040\) | \(2.7338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 268770cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 268770cb do not have complex multiplication.Modular form 268770.2.a.cb
sage: E.q_eigenform(10)