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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 92480.cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92480.cw1 | 92480f1 | \([0, 1, 0, 73599, -6156385]\) | \(55742968/53125\) | \(-42018680115200000\) | \([]\) | \(552960\) | \(1.8769\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92480.cw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92480.cw do not have complex multiplication.Modular form 92480.2.a.cw
sage: E.q_eigenform(10)