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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 23120ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23120.x1 | 23120ba1 | \([0, 0, 0, -272, 1564]\) | \(30081024/3125\) | \(231200000\) | \([]\) | \(4320\) | \(0.34008\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23120ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23120ba do not have complex multiplication.Modular form 23120.2.a.ba
sage: E.q_eigenform(10)