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SageMath
E = EllipticCurve("dw1")
E.isogeny_class()
Elliptic curves in class 9450.dw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.dw1 | 9450cx1 | \([1, -1, 1, -21305, 1140697]\) | \(15454515/896\) | \(62001450000000\) | \([]\) | \(30240\) | \(1.4003\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.dw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9450.dw do not have complex multiplication.Modular form 9450.2.a.dw
sage: E.q_eigenform(10)