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SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 121104.ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121104.ct1 | 121104cd1 | \([0, 0, 0, -143811, 30291138]\) | \(-185193/116\) | \(-206031418642612224\) | \([]\) | \(1128960\) | \(2.0239\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121104.ct1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121104.ct do not have complex multiplication.Modular form 121104.2.a.ct
sage: E.q_eigenform(10)