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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 3136c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 3136.b1 | 3136c1 | \([0, 0, 0, -1372, -19208]\) | \(48384\) | \(5903156224\) | \([]\) | \(2688\) | \(0.66517\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3136c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3136c do not have complex multiplication.Modular form 3136.2.a.c
sage: E.q_eigenform(10)