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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 666.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
666.d1 | 666e1 | \([1, -1, 1, 13, 1235]\) | \(357911/909312\) | \(-662888448\) | \([]\) | \(416\) | \(0.37163\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 666.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 666.d do not have complex multiplication.Modular form 666.2.a.d
sage: E.q_eigenform(10)