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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 28880.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28880.w1 | 28880d1 | \([0, 1, 0, -317800, -69427052]\) | \(-102053522/625\) | \(-21738960692480000\) | \([]\) | \(284544\) | \(1.9737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28880.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28880.w do not have complex multiplication.Modular form 28880.2.a.w
sage: E.q_eigenform(10)