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SageMath
E = EllipticCurve("do1")
E.isogeny_class()
Elliptic curves in class 15680.do
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15680.do1 | 15680cu1 | \([0, 0, 0, -28, -112]\) | \(-3024/5\) | \(-4014080\) | \([]\) | \(4608\) | \(-0.042013\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680.do1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15680.do do not have complex multiplication.Modular form 15680.2.a.do
sage: E.q_eigenform(10)