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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 188760.da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
188760.da1 | 188760bx1 | \([0, 1, 0, -164600, -32133840]\) | \(-102129622/32955\) | \(-159142228289341440\) | \([]\) | \(3421440\) | \(2.0134\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188760.da1 has rank \(0\).
Complex multiplication
The elliptic curves in class 188760.da do not have complex multiplication.Modular form 188760.2.a.da
sage: E.q_eigenform(10)