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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 142912.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
142912.d1 | 142912a1 | \([0, 0, 0, -454, -3782]\) | \(-161700475392/2972123\) | \(-190215872\) | \([]\) | \(101376\) | \(0.38428\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 142912.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 142912.d do not have complex multiplication.Modular form 142912.2.a.d
sage: E.q_eigenform(10)