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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 337590cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
337590.cr1 | 337590cr1 | \([1, -1, 0, -221634, -45306860]\) | \(-932288503609/148800000\) | \(-192170433787200000\) | \([]\) | \(3888000\) | \(2.0445\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 337590cr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 337590cr do not have complex multiplication.Modular form 337590.2.a.cr
sage: E.q_eigenform(10)