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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 70805.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.u1 | 70805w1 | \([1, 0, 0, -14456, 847685]\) | \(-14161/5\) | \(-117963076358645\) | \([]\) | \(198072\) | \(1.4111\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 70805.u do not have complex multiplication.Modular form 70805.2.a.u
sage: E.q_eigenform(10)