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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 155298ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155298.o1 | 155298ba1 | \([1, 0, 1, 26, -3016]\) | \(2053225511/3935872512\) | \(-3935872512\) | \([]\) | \(141696\) | \(0.52008\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155298ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 155298ba do not have complex multiplication.Modular form 155298.2.a.ba
sage: E.q_eigenform(10)