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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 4410.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4410.q1 | 4410p1 | \([1, -1, 0, -324, -2192]\) | \(-105484561/1440\) | \(-51438240\) | \([]\) | \(1920\) | \(0.28652\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4410.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4410.q do not have complex multiplication.Modular form 4410.2.a.q
sage: E.q_eigenform(10)