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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 85176z
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 85176.f1 | 85176z1 | \([0, 0, 0, -7144644, -10495710524]\) | \(-20380171264/12252303\) | \(-24247970376159254489856\) | \([]\) | \(8386560\) | \(2.9974\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 85176z do not have complex multiplication.Modular form 85176.2.a.z
sage: E.q_eigenform(10)