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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 147294cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147294.bf1 | 147294cr1 | \([1, -1, 0, -92745, 13345933]\) | \(-2469870906469729/717259538432\) | \(-25621227972329472\) | \([]\) | \(2465280\) | \(1.8633\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147294cr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 147294cr do not have complex multiplication.Modular form 147294.2.a.cr
sage: E.q_eigenform(10)