Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 215475h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 215475.b1 | 215475h1 | \([0, -1, 1, -272666008, -1757020739082]\) | \(-175893531604750336/2854069171875\) | \(-36377373489960416748046875\) | \([]\) | \(83026944\) | \(3.7050\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215475h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215475h do not have complex multiplication.Modular form 215475.2.a.h
sage: E.q_eigenform(10)