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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 85176t
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 85176.bz1 | 85176t1 | \([0, 0, 0, -2882451, 2107764542]\) | \(-20994006260678308/3063651608241\) | \(-386503620389785027584\) | \([]\) | \(3686400\) | \(2.6806\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85176t do not have complex multiplication.Modular form 85176.2.a.t
sage: E.q_eigenform(10)