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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 30960.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30960.ba1 | 30960bs1 | \([0, 0, 0, -203763, 35829938]\) | \(-313337384670961/4403200000\) | \(-13147884748800000\) | \([]\) | \(345600\) | \(1.8987\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30960.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30960.ba do not have complex multiplication.Modular form 30960.2.a.ba
sage: E.q_eigenform(10)