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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 16575.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16575.d1 | 16575e1 | \([0, 1, 1, -133, -731]\) | \(-16777216/3315\) | \(-51796875\) | \([]\) | \(4032\) | \(0.20328\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16575.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16575.d do not have complex multiplication.Modular form 16575.2.a.d
sage: E.q_eigenform(10)