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SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 109200dd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
109200.n1 | 109200dd1 | \([0, -1, 0, -40193608, 98655177712]\) | \(-112205650221491190337/745029571313664\) | \(-47681892564074496000000\) | \([]\) | \(12337920\) | \(3.1871\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 109200dd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 109200dd do not have complex multiplication.Modular form 109200.2.a.dd
sage: E.q_eigenform(10)