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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 84150cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84150.de1 | 84150cu1 | \([1, -1, 0, -644292, 242145616]\) | \(-2596717791529849/718080000000\) | \(-8179380000000000000\) | \([]\) | \(2709504\) | \(2.3448\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150cu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84150cu do not have complex multiplication.Modular form 84150.2.a.cu
sage: E.q_eigenform(10)