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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 10944bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10944.ba1 | 10944bw1 | \([0, 0, 0, -768, -8224]\) | \(-4194304/19\) | \(-226934784\) | \([]\) | \(4608\) | \(0.45495\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10944bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10944bw do not have complex multiplication.Modular form 10944.2.a.bw
sage: E.q_eigenform(10)