Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1694.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1694.a1 | 1694a1 | \([1, 1, 0, 361, 235]\) | \(24167/14\) | \(-3001024334\) | \([]\) | \(1056\) | \(0.50798\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1694.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1694.a do not have complex multiplication.Modular form 1694.2.a.a
sage: E.q_eigenform(10)