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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 3549.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3549.d1 | 3549a1 | \([0, -1, 1, -4450, 132225]\) | \(-2019487744/361179\) | \(-1743342047811\) | \([]\) | \(8064\) | \(1.0743\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3549.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3549.d do not have complex multiplication.Modular form 3549.2.a.d
sage: E.q_eigenform(10)