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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 164730.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
164730.m1 | 164730dj1 | \([1, 1, 0, 49847, 5385157]\) | \(1963522151/2918400\) | \(-20358050515814400\) | \([]\) | \(1507968\) | \(1.8148\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 164730.m do not have complex multiplication.Modular form 164730.2.a.m
sage: E.q_eigenform(10)