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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 91035s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91035.bt1 | 91035s1 | \([0, 0, 1, -692733, -221393291]\) | \(7229403136/19845\) | \(100918317777734205\) | \([]\) | \(1723392\) | \(2.1359\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91035s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 91035s do not have complex multiplication.Modular form 91035.2.a.s
sage: E.q_eigenform(10)