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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 348726.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.bc1 | 348726bc1 | \([1, 0, 1, -350178, -309804620]\) | \(-100940836056481/822747856896\) | \(-38706897768534245376\) | \([]\) | \(10506240\) | \(2.4413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 348726.bc do not have complex multiplication.Modular form 348726.2.a.bc
sage: E.q_eigenform(10)