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SageMath
E = EllipticCurve("bv1")
E.isogeny_class()
Elliptic curves in class 35520bv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35520.o1 | 35520bv1 | \([0, -1, 0, -8321, -294879]\) | \(-243087455521/5328000\) | \(-1396703232000\) | \([]\) | \(64512\) | \(1.1196\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35520bv1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35520bv do not have complex multiplication.Modular form 35520.2.a.bv
sage: E.q_eigenform(10)