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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 147294.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147294.w1 | 147294cl1 | \([1, -1, 0, 54, 972]\) | \(482447/12024\) | \(-429509304\) | \([]\) | \(69120\) | \(0.33669\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147294.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 147294.w do not have complex multiplication.Modular form 147294.2.a.w
sage: E.q_eigenform(10)