Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 920.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
920.d1 | 920c1 | \([0, 1, 0, 4, 5]\) | \(340736/575\) | \(-9200\) | \([]\) | \(32\) | \(-0.55442\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 920.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 920.d do not have complex multiplication.Modular form 920.2.a.d
sage: E.q_eigenform(10)