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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 5547d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5547.c1 | 5547d1 | \([0, 1, 1, -35747, -2623132]\) | \(-799178752/3483\) | \(-22017307499667\) | \([]\) | \(14784\) | \(1.4135\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5547d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5547d do not have complex multiplication.Modular form 5547.2.a.d
sage: E.q_eigenform(10)