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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 3844d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3844.a1 | 3844d1 | \([0, 1, 0, -10, -39]\) | \(-256\) | \(-476656\) | \([]\) | \(384\) | \(-0.22500\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3844d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3844d do not have complex multiplication.Modular form 3844.2.a.d
sage: E.q_eigenform(10)