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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 270802.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
270802.c1 | 270802c1 | \([1, 1, 0, -136263883, -612317399299]\) | \(-19287858777773741/877581376\) | \(-12731201127335979815744\) | \([]\) | \(48330240\) | \(3.3176\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 270802.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 270802.c do not have complex multiplication.Modular form 270802.2.a.c
sage: E.q_eigenform(10)