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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 3822.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3822.c1 | 3822b1 | \([1, 1, 0, 24, 36]\) | \(596183/468\) | \(-1123668\) | \([]\) | \(576\) | \(-0.15101\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3822.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3822.c do not have complex multiplication.Modular form 3822.2.a.c
sage: E.q_eigenform(10)