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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 4200.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4200.d1 | 4200f1 | \([0, -1, 0, -7708, -257963]\) | \(-324179200/63\) | \(-9843750000\) | \([]\) | \(6720\) | \(0.91746\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4200.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4200.d do not have complex multiplication.Modular form 4200.2.a.d
sage: E.q_eigenform(10)