Show commands:
SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 1694.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1694.f1 | 1694h1 | \([1, 1, 1, 3, 1]\) | \(24167/14\) | \(-1694\) | \([]\) | \(96\) | \(-0.69097\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1694.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1694.f do not have complex multiplication.Modular form 1694.2.a.f
sage: E.q_eigenform(10)