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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 122304.cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122304.cw1 | 122304fa1 | \([0, -1, 0, -23585, -1594431]\) | \(-47045881/8736\) | \(-269426796527616\) | \([]\) | \(368640\) | \(1.4934\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122304.cw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122304.cw do not have complex multiplication.Modular form 122304.2.a.cw
sage: E.q_eigenform(10)