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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 73036.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
73036.a1 | 73036a1 | \([0, 1, 0, -20501, 1127431]\) | \(-4194304/19\) | \(-4316817904384\) | \([]\) | \(181440\) | \(1.2761\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 73036.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 73036.a do not have complex multiplication.Modular form 73036.2.a.a
sage: E.q_eigenform(10)