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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 88445c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88445.t1 | 88445c1 | \([0, 0, 1, -35378, -3108842]\) | \(-43352064/11875\) | \(-1341366278336875\) | \([]\) | \(241920\) | \(1.6187\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88445c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 88445c do not have complex multiplication.Modular form 88445.2.a.c
sage: E.q_eigenform(10)