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SageMath
E = EllipticCurve("btc1")
E.isogeny_class()
Elliptic curves in class 705600.btc
sage: E.isogeny_class().curves
| LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
|---|---|---|---|---|---|---|
| 705600.btc1 | \([0, 0, 0, 1749300, 2012038000]\) | \(68782/243\) | \(-2091452831225856000000\) | \([]\) | \(30105600\) | \(2.7740\) |
Rank
sage: E.rank()
The elliptic curve 705600.btc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 705600.btc do not have complex multiplication.Modular form 705600.2.a.btc
sage: E.q_eigenform(10)