Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 129430h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129430.c1 | 129430h1 | \([1, 1, 0, 64677, -1728923]\) | \(4733169839/2949800\) | \(-18646756721940200\) | \([]\) | \(1064448\) | \(1.8111\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129430h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 129430h do not have complex multiplication.Modular form 129430.2.a.h
sage: E.q_eigenform(10)