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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 122304cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122304.gz1 | 122304cz1 | \([0, 1, 0, -23585, 1594431]\) | \(-47045881/8736\) | \(-269426796527616\) | \([]\) | \(368640\) | \(1.4934\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122304cz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122304cz do not have complex multiplication.Modular form 122304.2.a.cz
sage: E.q_eigenform(10)