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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 1290.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1290.d1 | 1290c1 | \([1, 0, 1, 5066, -4779064]\) | \(14382768678616871/9876709319915520\) | \(-9876709319915520\) | \([]\) | \(10560\) | \(1.7481\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1290.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1290.d do not have complex multiplication.Modular form 1290.2.a.d
sage: E.q_eigenform(10)