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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 85544.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85544.a1 | 85544b1 | \([0, 1, 0, -9633, 359987]\) | \(16000000/37\) | \(228631053568\) | \([]\) | \(81920\) | \(1.0604\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85544.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 85544.a do not have complex multiplication.Modular form 85544.2.a.a
sage: E.q_eigenform(10)