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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 3024c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 3024.h1 | 3024c1 | \([0, 0, 0, -243, -1566]\) | \(-78732/7\) | \(-141087744\) | \([]\) | \(576\) | \(0.30733\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3024c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3024c do not have complex multiplication.Modular form 3024.2.a.c
sage: E.q_eigenform(10)