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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 2576a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 2576.h1 | 2576a1 | \([0, -1, 0, -28, -49]\) | \(-157216000/1127\) | \(-18032\) | \([]\) | \(192\) | \(-0.35091\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2576a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2576a do not have complex multiplication.Modular form 2576.2.a.a
sage: E.q_eigenform(10)