Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 43681.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43681.d1 | 43681b1 | \([1, -1, 1, -30031, 1824364]\) | \(9747\) | \(307290101038811\) | \([]\) | \(142560\) | \(1.5155\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43681.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43681.d do not have complex multiplication.Modular form 43681.2.a.d
sage: E.q_eigenform(10)