Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 163254.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163254.a1 | 163254ct1 | \([1, 1, 0, -94830414, -355482197676]\) | \(558058791583853833465367617/9081241477824096\) | \(1534729809752272224\) | \([]\) | \(19152000\) | \(3.0345\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 163254.a do not have complex multiplication.Modular form 163254.2.a.a
sage: E.q_eigenform(10)