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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 119952cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
119952.bd1 | 119952cr1 | \([0, 0, 0, -518616, -147027636]\) | \(-10838016/289\) | \(-411348104763740928\) | \([]\) | \(1693440\) | \(2.1620\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 119952cr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 119952cr do not have complex multiplication.Modular form 119952.2.a.cr
sage: E.q_eigenform(10)