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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 11592q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11592.o1 | 11592q1 | \([0, 0, 0, -255, -1577]\) | \(-157216000/1127\) | \(-13145328\) | \([]\) | \(2880\) | \(0.19839\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11592q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11592q do not have complex multiplication.Modular form 11592.2.a.q
sage: E.q_eigenform(10)