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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 66270.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66270.q1 | 66270w1 | \([1, 1, 1, -103372410, -493134994665]\) | \(-11333146141863707329/3185805171505680\) | \(-34340479939901499866568720\) | \([]\) | \(37094400\) | \(3.6153\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66270.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66270.q do not have complex multiplication.Modular form 66270.2.a.q
sage: E.q_eigenform(10)