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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 310464.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.ba1 | 310464ba1 | \([0, 0, 0, -78204, -18689384]\) | \(-1755904/3993\) | \(-120284358200810496\) | \([]\) | \(2752512\) | \(1.9659\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 310464.ba do not have complex multiplication.Modular form 310464.2.a.ba
sage: E.q_eigenform(10)