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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 116242d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116242.n1 | 116242d1 | \([1, -1, 0, -41041, -2327587]\) | \(162503178993/43853824\) | \(2063141785298944\) | \([]\) | \(1520640\) | \(1.6466\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116242d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116242d do not have complex multiplication.Modular form 116242.2.a.d
sage: E.q_eigenform(10)