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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 24882c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24882.g1 | 24882c1 | \([1, 1, 0, -38577, -3096747]\) | \(-6349311810814878361/425545948878336\) | \(-425545948878336\) | \([]\) | \(155520\) | \(1.5589\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24882c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24882c do not have complex multiplication.Modular form 24882.2.a.c
sage: E.q_eigenform(10)