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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 225400.bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
225400.bw1 | 225400z1 | \([0, 1, 0, -170193, -67339357]\) | \(-144814859264/435654247\) | \(-1640137168169696000\) | \([]\) | \(2494464\) | \(2.1819\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 225400.bw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 225400.bw do not have complex multiplication.Modular form 225400.2.a.bw
sage: E.q_eigenform(10)