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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 73638.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
73638.e1 | 73638e1 | \([1, -1, 1, -7304, -320821]\) | \(-59104797349177/27485236224\) | \(-20036737207296\) | \([]\) | \(189440\) | \(1.2586\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 73638.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 73638.e do not have complex multiplication.Modular form 73638.2.a.e
sage: E.q_eigenform(10)