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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 148120bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
148120.l1 | 148120bf1 | \([0, -1, 0, -157144916, 928308340180]\) | \(-21407308460010064/6179146071875\) | \(-123877124373440535826400000\) | \([]\) | \(38860800\) | \(3.7217\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148120bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 148120bf do not have complex multiplication.Modular form 148120.2.a.bf
sage: E.q_eigenform(10)