Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 100016d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100016.p1 | 100016d1 | \([0, 0, 0, -103, -586]\) | \(-472058064/306299\) | \(-78412544\) | \([]\) | \(39936\) | \(0.21593\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100016d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100016d do not have complex multiplication.Modular form 100016.2.a.d
sage: E.q_eigenform(10)