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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 3648c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3648.l1 | 3648c1 | \([0, -1, 0, -375, 3933]\) | \(-91368216064/45001899\) | \(-2880121536\) | \([]\) | \(1536\) | \(0.52037\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3648c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3648c do not have complex multiplication.Modular form 3648.2.a.c
sage: E.q_eigenform(10)