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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 176400.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.t1 | 176400hc1 | \([0, 0, 0, -1117200, 749014000]\) | \(-1376628736/1366875\) | \(-153118780920000000000\) | \([]\) | \(5160960\) | \(2.5689\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400.t do not have complex multiplication.Modular form 176400.2.a.t
sage: E.q_eigenform(10)