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SageMath
E = EllipticCurve("cx1")
E.isogeny_class()
Elliptic curves in class 121275cx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.cs1 | 121275cx1 | \([0, 0, 1, -1447950, 2167663531]\) | \(-250523582464/1369738755\) | \(-1835580934370614921875\) | \([]\) | \(3686400\) | \(2.7642\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275cx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121275cx do not have complex multiplication.Modular form 121275.2.a.cx
sage: E.q_eigenform(10)