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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 166464.cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166464.cr1 | 166464gy1 | \([0, 0, 0, 13872, 157216]\) | \(27648/17\) | \(-181520698097664\) | \([]\) | \(294912\) | \(1.4252\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166464.cr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 166464.cr do not have complex multiplication.Modular form 166464.2.a.cr
sage: E.q_eigenform(10)