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SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 159120ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159120.x1 | 159120ct1 | \([0, 0, 0, 27, 107]\) | \(5038848/14365\) | \(-6205680\) | \([]\) | \(21504\) | \(-0.013106\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159120ct1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159120ct do not have complex multiplication.Modular form 159120.2.a.ct
sage: E.q_eigenform(10)