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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 338130.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338130.d1 | 338130d1 | \([1, -1, 0, 10350, -192614]\) | \(2013714719/1421550\) | \(-86553643333950\) | \([]\) | \(1209600\) | \(1.3628\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338130.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338130.d do not have complex multiplication.Modular form 338130.2.a.d
sage: E.q_eigenform(10)