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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 105413.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
105413.c1 | 105413a1 | \([0, 0, 1, 2738, 12663]\) | \(884736/539\) | \(-1382926534451\) | \([]\) | \(204336\) | \(1.0188\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 105413.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 105413.c do not have complex multiplication.Modular form 105413.2.a.c
sage: E.q_eigenform(10)