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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 380880.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
380880.c1 | 380880c1 | \([0, 0, 0, 9659517, -17941832318]\) | \(63102533673332111/124556484375000\) | \(-196747621133760000000000\) | \([]\) | \(57507840\) | \(3.1542\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380880.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 380880.c do not have complex multiplication.Modular form 380880.2.a.c
sage: E.q_eigenform(10)