Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 9075.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9075.h1 | 9075r1 | \([1, 0, 0, -3638, 98517]\) | \(-10241915/2187\) | \(-1137069140625\) | \([]\) | \(10080\) | \(1.0346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9075.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9075.h do not have complex multiplication.Modular form 9075.2.a.h
sage: E.q_eigenform(10)