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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 10944.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10944.y1 | 10944ba1 | \([0, 0, 0, -18, 54]\) | \(-13824/19\) | \(-886464\) | \([]\) | \(1024\) | \(-0.16626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10944.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10944.y do not have complex multiplication.Modular form 10944.2.a.y
sage: E.q_eigenform(10)