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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 234416c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 234416.c1 | 234416c1 | \([0, 0, 0, 34349, 11128978]\) | \(9300746727/116413856\) | \(-56098708457652224\) | \([]\) | \(3801600\) | \(1.8947\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 234416c do not have complex multiplication.Modular form 234416.2.a.c
sage: E.q_eigenform(10)