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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 2448h
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 2448.b1 | 2448h1 | \([0, 0, 0, 4596, -46676]\) | \(57530252288/38336139\) | \(-7154443604736\) | \([]\) | \(3840\) | \(1.1553\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2448h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2448h do not have complex multiplication.Modular form 2448.2.a.h
sage: E.q_eigenform(10)