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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 85176u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85176.g1 | 85176u1 | \([0, 0, 0, 34476, -3049436]\) | \(5030912/7371\) | \(-6639785027156736\) | \([]\) | \(516096\) | \(1.7215\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176u1 has rank \(2\).
Complex multiplication
The elliptic curves in class 85176u do not have complex multiplication.Modular form 85176.2.a.u
sage: E.q_eigenform(10)