Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 250173.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250173.a1 | 250173a1 | \([0, 0, 1, -1411149, -569744550]\) | \(9061356040192/1155048741\) | \(39614068215730363509\) | \([]\) | \(10644480\) | \(2.4895\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 250173.a do not have complex multiplication.Modular form 250173.2.a.a
sage: E.q_eigenform(10)