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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 4900d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4900.k1 | 4900d1 | \([0, 0, 0, -245, -1715]\) | \(-34560/7\) | \(-329417200\) | \([]\) | \(1728\) | \(0.35688\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4900d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4900d do not have complex multiplication.Modular form 4900.2.a.d
sage: E.q_eigenform(10)