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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 116025h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 116025.bt1 | 116025h1 | \([0, -1, 1, -358, -38007]\) | \(-325660672/40000779\) | \(-625012171875\) | \([]\) | \(238464\) | \(0.94288\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116025h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 116025h do not have complex multiplication.Modular form 116025.2.a.h
sage: E.q_eigenform(10)