Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 164730.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
164730.i1 | 164730df1 | \([1, 1, 0, 983317, -312928113]\) | \(15073437116231/14803256250\) | \(-103263924936967256250\) | \([]\) | \(8616960\) | \(2.5273\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 164730.i do not have complex multiplication.Modular form 164730.2.a.i
sage: E.q_eigenform(10)