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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 650d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
650.e1 | 650d1 | \([1, 0, 1, 299, 22048]\) | \(304175/21632\) | \(-211250000000\) | \([]\) | \(840\) | \(0.85258\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 650d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 650d do not have complex multiplication.Modular form 650.2.a.d
sage: E.q_eigenform(10)