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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 1944.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1944.f1 | 1944h1 | \([0, 0, 0, -27, -42]\) | \(4374\) | \(497664\) | \([]\) | \(144\) | \(-0.19439\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1944.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1944.f do not have complex multiplication.Modular form 1944.2.a.f
sage: E.q_eigenform(10)