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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 108900dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
108900.y1 | 108900dq1 | \([0, 0, 0, -165, -1375]\) | \(-2816/3\) | \(-529254000\) | \([]\) | \(32256\) | \(0.36894\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 108900dq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 108900dq do not have complex multiplication.Modular form 108900.2.a.dq
sage: E.q_eigenform(10)