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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 266616.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
266616.b1 | 266616b1 | \([0, 0, 0, 252333, -1642545]\) | \(1029037824/596183\) | \(-1029423587521917168\) | \([]\) | \(4967424\) | \(2.1458\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266616.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 266616.b do not have complex multiplication.Modular form 266616.2.a.b
sage: E.q_eigenform(10)