Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 88935.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88935.a1 | 88935t1 | \([0, -1, 1, -1976, -28414]\) | \(9834496/1485\) | \(128907636165\) | \([]\) | \(138240\) | \(0.85592\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88935.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 88935.a do not have complex multiplication.Modular form 88935.2.a.a
sage: E.q_eigenform(10)