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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 112710.cc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 112710.cc1 | 112710cc1 | \([1, 1, 1, -77651705, -263407398073]\) | \(-7423100311456129681/239616000\) | \(-1671503094982656000\) | \([]\) | \(10281600\) | \(2.9985\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710.cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112710.cc do not have complex multiplication.Modular form 112710.2.a.cc
sage: E.q_eigenform(10)