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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 213444.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213444.bc1 | 213444ba1 | \([0, 0, 0, -3096076368, 7316312029796]\) | \(697367157735424/398655683181\) | \(1876269309113802209727862215936\) | \([]\) | \(277364736\) | \(4.4986\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213444.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 213444.bc do not have complex multiplication.Modular form 213444.2.a.bc
sage: E.q_eigenform(10)