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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 70560.cc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 70560.cc1 | 70560dp1 | \([0, 0, 0, -7203, -16571702]\) | \(-392/1125\) | \(-118612486956096000\) | \([]\) | \(709632\) | \(1.9552\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70560.cc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70560.cc do not have complex multiplication.Modular form 70560.2.a.cc
sage: E.q_eigenform(10)