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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 38440d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38440.c1 | 38440d1 | \([0, 1, 0, -41, -101]\) | \(31744/5\) | \(1230080\) | \([]\) | \(6240\) | \(-0.10861\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38440d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 38440d do not have complex multiplication.Modular form 38440.2.a.d
sage: E.q_eigenform(10)