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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 592.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
592.d1 | 592b1 | \([0, 1, 0, -33, -85]\) | \(16000000/37\) | \(9472\) | \([]\) | \(32\) | \(-0.35617\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 592.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 592.d do not have complex multiplication.Modular form 592.2.a.d
sage: E.q_eigenform(10)