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SageMath
E = EllipticCurve("fq1")
E.isogeny_class()
Elliptic curves in class 103488fq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
103488.ee1 | 103488fq1 | \([0, -1, 0, -311649, 69526017]\) | \(-260607143968297/11270993184\) | \(-144776538624098304\) | \([]\) | \(1612800\) | \(2.0585\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103488fq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 103488fq do not have complex multiplication.Modular form 103488.2.a.fq
sage: E.q_eigenform(10)