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SageMath
E = EllipticCurve("ds1")
E.isogeny_class()
Elliptic curves in class 25200.ds
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25200.ds1 | 25200el1 | \([0, 0, 0, -906555, -332462230]\) | \(-1103770289367265/891813888\) | \(-66573550013644800\) | \([]\) | \(437760\) | \(2.1577\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25200.ds1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25200.ds do not have complex multiplication.Modular form 25200.2.a.ds
sage: E.q_eigenform(10)