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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 40733d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40733.d1 | 40733d1 | \([1, 1, 1, -3185, 63324]\) | \(24137569/1771\) | \(262171559419\) | \([]\) | \(33792\) | \(0.93712\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40733d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40733d do not have complex multiplication.Modular form 40733.2.a.d
sage: E.q_eigenform(10)