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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 346560.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
346560.ba1 | 346560ba1 | \([0, -1, 0, -3980451461, 93168153841821]\) | \(25065245484338062336/1029455660473245\) | \(286454990562290046588322529280\) | \([]\) | \(478033920\) | \(4.4178\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346560.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 346560.ba do not have complex multiplication.Modular form 346560.2.a.ba
sage: E.q_eigenform(10)