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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 1840.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1840.d1 | 1840e1 | \([0, 0, 0, 112, 688]\) | \(37933056/71875\) | \(-294400000\) | \([]\) | \(400\) | \(0.30967\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1840.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1840.d do not have complex multiplication.Modular form 1840.2.a.d
sage: E.q_eigenform(10)