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SageMath
E = EllipticCurve("dn1")
E.isogeny_class()
Elliptic curves in class 100672.dn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100672.dn1 | 100672cq1 | \([0, 1, 0, -7905, -285793]\) | \(-235298/13\) | \(-3018626564096\) | \([]\) | \(179200\) | \(1.1525\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100672.dn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100672.dn do not have complex multiplication.Modular form 100672.2.a.dn
sage: E.q_eigenform(10)