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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 35520a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35520.h1 | 35520a1 | \([0, -1, 0, -1761, -28575]\) | \(-4610398322/134865\) | \(-17677025280\) | \([]\) | \(27648\) | \(0.74522\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35520a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35520a do not have complex multiplication.Modular form 35520.2.a.a
sage: E.q_eigenform(10)