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SageMath
E = EllipticCurve("bo1")
E.isogeny_class()
Elliptic curves in class 75150.bo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.bo1 | 75150bs1 | \([1, -1, 1, -146646116555, 21614973135817947]\) | \(-1224751130206834971784807336585/61328559574089728\) | \(-17464265597465395200000000\) | \([]\) | \(230551200\) | \(4.7658\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150.bo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75150.bo do not have complex multiplication.Modular form 75150.2.a.bo
sage: E.q_eigenform(10)