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SageMath
E = EllipticCurve("cj1")
E.isogeny_class()
Elliptic curves in class 44100cj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44100.h1 | 44100cj1 | \([0, 0, 0, -89985, -10389715]\) | \(-805661175040/729\) | \(-72913705200\) | \([]\) | \(110592\) | \(1.3827\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44100cj1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44100cj do not have complex multiplication.Modular form 44100.2.a.cj
sage: E.q_eigenform(10)