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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 52878d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52878.d1 | 52878d1 | \([1, 0, 1, 62, 5534]\) | \(26973008999/13221985266\) | \(-13221985266\) | \([]\) | \(44352\) | \(0.62118\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52878d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52878d do not have complex multiplication.Modular form 52878.2.a.d
sage: E.q_eigenform(10)