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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 23104k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23104.ba1 | 23104k1 | \([0, 0, 0, -722, -13718]\) | \(-13824/19\) | \(-57207791296\) | \([]\) | \(11520\) | \(0.75665\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23104k1 has rank \(2\).
Complex multiplication
The elliptic curves in class 23104k do not have complex multiplication.Modular form 23104.2.a.k
sage: E.q_eigenform(10)