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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 53130q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53130.q1 | 53130q1 | \([1, 1, 0, -12201317, 16399907469]\) | \(-200883330249962433079106521/9528985042500000000\) | \(-9528985042500000000\) | \([]\) | \(2726400\) | \(2.7155\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53130q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 53130q do not have complex multiplication.Modular form 53130.2.a.q
sage: E.q_eigenform(10)