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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 37030a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37030.e1 | 37030a1 | \([1, -1, 0, 8365, 338965]\) | \(826551/1120\) | \(-87708303514720\) | \([]\) | \(99360\) | \(1.3612\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37030a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37030a do not have complex multiplication.Modular form 37030.2.a.a
sage: E.q_eigenform(10)