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SageMath
E = EllipticCurve("dj1")
E.isogeny_class()
Elliptic curves in class 11200dj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11200.c1 | 11200dj1 | \([0, 0, 0, -11500, -513200]\) | \(-1026590625/100352\) | \(-16441671680000\) | \([]\) | \(50688\) | \(1.2768\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11200dj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11200dj do not have complex multiplication.Modular form 11200.2.a.dj
sage: E.q_eigenform(10)