Show commands:
SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 388815.dk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388815.dk1 | 388815dk1 | \([0, -1, 1, -317653590, 2857020553631]\) | \(-2476357085090396229632/1030161895751953125\) | \(-1474610187797703094482421875\) | \([]\) | \(330448896\) | \(3.9213\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815.dk1 has rank \(2\).
Complex multiplication
The elliptic curves in class 388815.dk do not have complex multiplication.Modular form 388815.2.a.dk
sage: E.q_eigenform(10)