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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 145200.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145200.ba1 | 145200fa1 | \([0, -1, 0, -1985408, 429453312]\) | \(63088729/30720\) | \(421446708756480000000\) | \([]\) | \(6690816\) | \(2.6510\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145200.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145200.ba do not have complex multiplication.Modular form 145200.2.a.ba
sage: E.q_eigenform(10)