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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 37830c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 37830.d1 | 37830c1 | \([1, 1, 0, -28058, 1797648]\) | \(-2442969414055753129/486208183500\) | \(-486208183500\) | \([]\) | \(96480\) | \(1.2412\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37830c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 37830c do not have complex multiplication.Modular form 37830.2.a.c
sage: E.q_eigenform(10)