Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 97461.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97461.e1 | 97461o1 | \([0, 0, 1, -10032897, 17704863468]\) | \(-1302227927110660096/825290486657091\) | \(-70781963738780952214011\) | \([]\) | \(12570624\) | \(3.0860\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 97461.e do not have complex multiplication.Modular form 97461.2.a.e
sage: E.q_eigenform(10)