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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 100016.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100016.d1 | 100016n1 | \([0, -1, 0, -152, 1264]\) | \(-95443993/100016\) | \(-409665536\) | \([]\) | \(36864\) | \(0.34777\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100016.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100016.d do not have complex multiplication.Modular form 100016.2.a.d
sage: E.q_eigenform(10)