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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 372810.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.b1 | 372810b1 | \([1, 1, 0, -3977368, -3172737728]\) | \(-288282102195061801/13141999872000\) | \(-317215928708391168000\) | \([]\) | \(20528640\) | \(2.6978\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.b do not have complex multiplication.Modular form 372810.2.a.b
sage: E.q_eigenform(10)