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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 10830.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10830.c1 | 10830b1 | \([1, 1, 0, -5118, -144012]\) | \(-41081844659329/314572800\) | \(-113560780800\) | \([]\) | \(15840\) | \(0.95104\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10830.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 10830.c do not have complex multiplication.Modular form 10830.2.a.c
sage: E.q_eigenform(10)