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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 190575cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.x1 | 190575cb1 | \([1, -1, 1, 11230, -773748]\) | \(1082565/2401\) | \(-347406079464675\) | \([]\) | \(506880\) | \(1.4743\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575cb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 190575cb do not have complex multiplication.Modular form 190575.2.a.cb
sage: E.q_eigenform(10)