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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 7360.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7360.ba1 | 7360f1 | \([0, 0, 0, -748, 7928]\) | \(-45198971136/359375\) | \(-368000000\) | \([]\) | \(4608\) | \(0.47184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7360.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7360.ba do not have complex multiplication.Modular form 7360.2.a.ba
sage: E.q_eigenform(10)