Show commands:
SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 5915.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5915.h1 | 5915g1 | \([1, 0, 1, -368, -2819]\) | \(-32485001809/1071875\) | \(-181146875\) | \([]\) | \(2160\) | \(0.35933\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5915.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5915.h do not have complex multiplication.Modular form 5915.2.a.h
sage: E.q_eigenform(10)