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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 141.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141.d1 | 141d1 | \([0, -1, 1, -1, 0]\) | \(262144/141\) | \(141\) | \([]\) | \(4\) | \(-0.89647\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141.d do not have complex multiplication.Modular form 141.2.a.d
sage: E.q_eigenform(10)