Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 333795.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333795.h1 | 333795h1 | \([0, 1, 1, 73310, 3890194]\) | \(1805152587776/1312108875\) | \(-31671118505824875\) | \([]\) | \(4810752\) | \(1.8545\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333795.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333795.h do not have complex multiplication.Modular form 333795.2.a.h
sage: E.q_eigenform(10)