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SageMath
E = EllipticCurve("cx1")
E.isogeny_class()
Elliptic curves in class 187425cx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187425.cv1 | 187425cx1 | \([0, 0, 1, -389550, 138346906]\) | \(-4878401536/3346875\) | \(-4485132597216796875\) | \([]\) | \(2211840\) | \(2.2793\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187425cx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 187425cx do not have complex multiplication.Modular form 187425.2.a.cx
sage: E.q_eigenform(10)