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SageMath
E = EllipticCurve("cx1")
E.isogeny_class()
Elliptic curves in class 155952.cx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155952.cx1 | 155952cx1 | \([0, 0, 0, -38988, -3703860]\) | \(-3072\) | \(-2133513390465792\) | \([]\) | \(1034208\) | \(1.6539\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155952.cx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 155952.cx do not have complex multiplication.Modular form 155952.2.a.cx
sage: E.q_eigenform(10)