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SageMath
E = EllipticCurve("qt1")
E.isogeny_class()
Elliptic curves in class 176400qt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.v1 | 176400qt1 | \([0, 0, 0, -102900, -34814500]\) | \(-7168/27\) | \(-453874312332000000\) | \([]\) | \(2064384\) | \(2.0737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400qt1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400qt do not have complex multiplication.Modular form 176400.2.a.qt
sage: E.q_eigenform(10)