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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 8670.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8670.q1 | 8670s1 | \([1, 1, 1, 45, 6225]\) | \(34822511/57600000\) | \(-16646400000\) | \([]\) | \(7920\) | \(0.64026\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8670.q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8670.q do not have complex multiplication.Modular form 8670.2.a.q
sage: E.q_eigenform(10)