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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 44880a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 44880.k1 | 44880a1 | \([0, -1, 0, 2024, 19360]\) | \(895036383644/687295125\) | \(-703790208000\) | \([]\) | \(57600\) | \(0.96139\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44880a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44880a do not have complex multiplication.Modular form 44880.2.a.a
sage: E.q_eigenform(10)