Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 675.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
675.h1 | 675f1 | \([1, -1, 0, -42, -19]\) | \(1875\) | \(4428675\) | \([]\) | \(108\) | \(-0.033372\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 675.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 675.h do not have complex multiplication.Modular form 675.2.a.h
sage: E.q_eigenform(10)