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SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 147294ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147294.y1 | 147294ct1 | \([1, -1, 0, -711783, 217160957]\) | \(12554947032016059/862598703232\) | \(2740064620586622336\) | \([]\) | \(2903040\) | \(2.2861\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147294ct1 has rank \(0\).
Complex multiplication
The elliptic curves in class 147294ct do not have complex multiplication.Modular form 147294.2.a.ct
sage: E.q_eigenform(10)