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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 235200.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.bc1 | 235200bc1 | \([0, -1, 0, -999833, 385137537]\) | \(-805661175040/729\) | \(-100018800000000\) | \([]\) | \(2211840\) | \(1.9847\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200.bc do not have complex multiplication.Modular form 235200.2.a.bc
sage: E.q_eigenform(10)