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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 44352cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44352.w1 | 44352cr1 | \([0, 0, 0, -444, -119464]\) | \(-12967168/8251551\) | \(-6159749815296\) | \([]\) | \(86016\) | \(1.1332\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44352cr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44352cr do not have complex multiplication.Modular form 44352.2.a.cr
sage: E.q_eigenform(10)