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SageMath
E = EllipticCurve("gm1")
E.isogeny_class()
Elliptic curves in class 179520gm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179520.fu1 | 179520gm1 | \([0, 1, 0, -271521, 55760319]\) | \(-8444922396903721/253364474880\) | \(-66417976902942720\) | \([]\) | \(1935360\) | \(2.0059\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179520gm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 179520gm do not have complex multiplication.Modular form 179520.2.a.gm
sage: E.q_eigenform(10)