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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 7605.u
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7605.u1 | 7605s1 | \([0, 0, 1, -289497, -61563785]\) | \(-762549907456/24024195\) | \(-84534986269297395\) | \([]\) | \(112896\) | \(2.0243\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7605.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7605.u do not have complex multiplication.Modular form 7605.2.a.u
sage: E.q_eigenform(10)