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SageMath
E = EllipticCurve("cw1")
E.isogeny_class()
Elliptic curves in class 76050cw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76050.n1 | 76050cw1 | \([1, -1, 0, -12492, -546584]\) | \(-895973/24\) | \(-5775046875000\) | \([]\) | \(253440\) | \(1.2307\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76050cw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76050cw do not have complex multiplication.Modular form 76050.2.a.cw
sage: E.q_eigenform(10)