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SageMath
E = EllipticCurve("px1")
E.isogeny_class()
Elliptic curves in class 176400px
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.py1 | 176400px1 | \([0, 0, 0, -180075, -27311375]\) | \(12544\) | \(51481114130250000\) | \([]\) | \(1411200\) | \(1.9501\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400px1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400px do not have complex multiplication.Modular form 176400.2.a.px
sage: E.q_eigenform(10)